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below.","correct":false,"explanation":"Looking from below would produce an underside view, not a plan. A plan is drawn by looking directly down at the solid from above."},{"text":"From directly in front.","correct":false,"explanation":"Looking directly in front produces a front elevation, which shows width and height. A plan is obtained by looking directly from above."},{"text":"From directly beside.","correct":false,"explanation":"Looking directly beside the solid produces a side elevation, showing depth and height. A plan is drawn from the view directly above."}]},{"id":"ab0cc1fb-dce6-2704-8009-b48af0d05230","cardType":"basic","points":1,"front":"If you draw the front elevation, where do you look from?","back":"From the front.","mcqOptions":[{"text":"From the front.","correct":true,"explanation":"A front elevation is the two-dimensional view seen when looking straight at the designated front of the solid, showing its width and height."},{"text":"From the back.","correct":false,"explanation":"Looking from the back gives a rear elevation, which may differ from the front view. The front elevation is obtained by looking from the front."},{"text":"From above.","correct":false,"explanation":"Looking from above produces the plan, which shows width and depth. The front elevation is drawn by looking straight at the solid from the front."},{"text":"From the side.","correct":false,"explanation":"Looking from the side produces a side elevation, usually showing depth and height. A front elevation must be viewed from the solid’s front."}]},{"id":"89bc38f7-18be-96ef-e14a-9eeaf98c09ad","cardType":"basic","points":1,"front":"For a side elevation, how do you choose the side to view?","back":"Use the side shown by the arrow or label.","mcqOptions":[{"text":"Use the side shown by the arrow or label.","correct":true,"explanation":"The diagram’s arrow or label identifies the required viewing direction, so the side elevation must be drawn as seen from that specified side."},{"text":"Use the side opposite the arrow or label.","correct":false,"explanation":"Reversing the indicated direction produces the elevation from the opposite side. The required side is the one shown by the arrow or label."},{"text":"Use the side with the longest visible edge.","correct":false,"explanation":"The lengths of the edges do not determine the viewing side. The correct side elevation is selected using the arrow or label on the diagram."},{"text":"Use the side nearest to the front of the page.","correct":false,"explanation":"The position of a side on the printed page does not determine the required view. Follow the arrow or label that specifies the viewing side."}]},{"id":"e99279cd-13f4-9624-efff-4047e43fd8e0","cardType":"cloze","points":null,"front":"Width is [ ]; depth is [ ].","back":"Width is left-to-right; depth is front-to-back.","mcqOptions":[{"text":"Width is left-to-right; depth is front-to-back.","correct":true,"explanation":"Width measures the horizontal distance from left to right, while depth measures how far the solid extends from its front to its back."},{"text":"Width is front-to-back; depth is left-to-right.","correct":false,"explanation":"This swaps the meanings of width and depth. Width runs left-to-right, while depth runs front-to-back when describing the dimensions of a solid."},{"text":"Width is bottom-to-top; depth is front-to-back.","correct":false,"explanation":"Bottom-to-top is height, not width. Width runs left-to-right, while the stated front-to-back direction for depth is correct."},{"text":"Width is left-to-right; depth is bottom-to-top.","correct":false,"explanation":"Bottom-to-top describes height rather than depth. Width runs left-to-right, and depth measures the front-to-back distance of the solid."}]},{"id":"17ade7c5-1f0c-14f0-3d21-d3a8454446bc","cardType":"basic","points":1,"front":"A length is measured bottom-to-top on a solid. Which measurement is this?","back":"Height.","mcqOptions":[{"text":"Height.","correct":true,"explanation":"Height is the vertical measurement of a solid, taken from its bottom to its top. It is visible in front and side elevations."},{"text":"Width.","correct":false,"explanation":"Width measures from left to right rather than bottom to top. A bottom-to-top measurement is the solid’s height."},{"text":"Depth.","correct":false,"explanation":"Depth measures the distance from front to back, not the vertical distance. The bottom-to-top dimension of a solid is its height."},{"text":"Length.","correct":false,"explanation":"Length is a general term and usually refers to a horizontal extent in this context. The named bottom-to-top dimension is height."}]},{"id":"b2a7df2e-faeb-37fc-f49e-aa48735e3eb6","cardType":"basic","points":1,"front":"Which dimension is not shown in a plan?","back":"Height.","mcqOptions":[{"text":"Height.","correct":true,"explanation":"A plan is viewed from above, so it shows the solid’s width and depth. Its vertical height cannot be seen in this view."},{"text":"Width.","correct":false,"explanation":"A plan shows the left-to-right width because it is viewed from above. Height is the dimension that is not shown."},{"text":"Depth.","correct":false,"explanation":"A plan shows the front-to-back depth as well as the width. It does not show the solid’s bottom-to-top height."},{"text":"Horizontal length.","correct":false,"explanation":"Horizontal lengths form the outline visible in a plan, so they can be shown. The missing dimension is the vertical height."}]},{"id":"568303f4-0d78-f156-9f11-3d4719515a45","cardType":"basic","points":1,"front":"Which dimension is not shown in a front elevation?","back":"Depth.","mcqOptions":[{"text":"Depth.","correct":true,"explanation":"A front elevation shows the solid’s left-to-right width and bottom-to-top height. It cannot show the full front-to-back depth."},{"text":"Height.","correct":false,"explanation":"Height is visible in a front elevation as the bottom-to-top measurement. The dimension not shown is the front-to-back depth."},{"text":"Width.","correct":false,"explanation":"Width is visible in a front elevation as the left-to-right measurement. The front-to-back depth is the dimension that is not shown."},{"text":"Width and height.","correct":false,"explanation":"A front elevation specifically displays both width and height. It leaves out the third dimension, which is the solid’s depth."}]},{"id":"e626b95e-aaa1-5a8e-739f-61ee4c04dd03","cardType":"basic","points":1,"front":"Which full measurement does a side elevation not show?","back":"The left-to-right width.","mcqOptions":[{"text":"The left-to-right width.","correct":true,"explanation":"A side elevation shows the solid’s depth and height. Looking from the side means the full left-to-right width extends along the viewing direction and is not shown."},{"text":"The front-to-back depth.","correct":false,"explanation":"A side elevation shows the front-to-back depth as a horizontal measurement. The dimension it does not show is the solid’s left-to-right width."},{"text":"The bottom-to-top height.","correct":false,"explanation":"A side elevation shows the bottom-to-top height as its vertical measurement. The hidden full dimension is the left-to-right width."},{"text":"The front-to-back width.","correct":false,"explanation":"Front-to-back is depth, not width, and this distance is visible in a side elevation. The unshown dimension is the left-to-right width."}]},{"id":"103442f3-0dd7-4c4d-c1ed-acbbc179fa9e","cardType":"cloze","points":null,"front":"The plan and front elevation share the [ ].","back":"The plan and front elevation share the width.","mcqOptions":[{"text":"width","correct":true,"explanation":"Both views show the solid’s left-to-right measurement, so the plan and front elevation must have the same width."},{"text":"height","correct":false,"explanation":"Height is visible in the front elevation but not in the plan. The shared dimension is width because both views show the left-to-right measurement."},{"text":"depth","correct":false,"explanation":"Depth is shown by the plan but not by the front elevation. These two views instead share the solid’s width."},{"text":"length","correct":false,"explanation":"Length is sometimes used informally for a horizontal measurement, but the corresponding dimension in the plan and front elevation is specifically called width."}]},{"id":"bdbb9cf5-db8d-2a03-ef3b-9d28560fc1b9","cardType":"cloze","points":null,"front":"The plan and side elevation share the [ ].","back":"The plan and side elevation share the depth.","mcqOptions":[{"text":"depth","correct":true,"explanation":"Both the plan and side elevation show the solid’s front-to-back measurement, so their shared dimension is depth."},{"text":"width","correct":false,"explanation":"Width is shared by the plan and front elevation, not the plan and side elevation. The plan and side elevation both show depth."},{"text":"height","correct":false,"explanation":"Height appears in the side elevation but is not represented in the plan. The dimension common to these two views is depth."},{"text":"length","correct":false,"explanation":"Length may be used informally for a horizontal dimension, but plans and elevations specifically identify the shared front-to-back measurement as depth."}]},{"id":"57479d3e-7a9d-970d-1567-fc10f112beaa","cardType":"cloze","points":null,"front":"The front elevation and side elevation share the [ ].","back":"The front elevation and side elevation share the height.","mcqOptions":[{"text":"height","correct":true,"explanation":"Both elevations show the vertical measurement of the solid, so the front and side elevations share the same height."},{"text":"width","correct":false,"explanation":"Width is visible in the front elevation but not the side elevation. Both elevations instead share the solid’s vertical dimension, which is height."},{"text":"depth","correct":false,"explanation":"Depth is visible in the side elevation but not the front elevation. The shared dimension between the two elevations is height."},{"text":"length","correct":false,"explanation":"Length may describe a horizontal dimension, whereas the dimension common to both the front and side elevations is the vertical height."}]},{"id":"4672da3d-b3cc-09b2-e37e-beff4f410a12","cardType":"basic","points":1,"front":"If a solid is a prism, what happens to its cross-section through the solid?","back":"The same cross-section continues all the way through.","mcqOptions":[{"text":"The same cross-section continues all the way through.","correct":true,"explanation":"A prism has a uniform cross-section along its length, meaning the same cross-sectional shape and size continue from one end to the other."},{"text":"The cross-section decreases all the way through.","correct":false,"explanation":"A steadily shrinking cross-section describes a tapered solid, such as a pyramid or cone. A prism keeps the same cross-section all the way through."},{"text":"The cross-section increases all the way through.","correct":false,"explanation":"A steadily enlarging cross-section describes a widening or tapered solid, not a prism. A prism has the same cross-section throughout its length."},{"text":"The cross-section rotates all the way through.","correct":false,"explanation":"Rotation of the cross-section would produce a twisted solid rather than an ordinary prism. In a prism, the same cross-section continues straight through."}]},{"id":"52aa1e81-2bb7-c02d-70cc-9757a87cbaf3","cardType":"basic","points":1,"front":"For a cube solid, what positions should be marked on the plan?","back":"Every floor square with at least one cube.","mcqOptions":[{"text":"Every floor square with at least one cube.","correct":true,"explanation":"A plan is a view from directly above, so each floor position occupied by one or more cubes appears as a square."},{"text":"Every floor square with exactly one cube.","correct":false,"explanation":"Marking only positions with exactly one cube ignores taller stacks, although they still occupy floor space. Every position containing at least one cube must be shown."},{"text":"Every floor square with at least two cubes.","correct":false,"explanation":"Requiring at least two cubes wrongly omits single cubes. From above, any occupied floor square is shown, regardless of the stack’s height."},{"text":"Every floor square with no cubes present.","correct":false,"explanation":"Empty floor positions are not part of the solid and therefore do not appear in its plan. Only squares with at least one cube are marked."}]},{"id":"43a8d551-b796-948f-ddcd-68365f1267c3","cardType":"basic","points":1,"front":"A tower is 3 cubes high. How many squares does it show in the plan?","back":"One square.","mcqOptions":[{"text":"One square.","correct":true,"explanation":"The plan records occupied floor positions rather than the number of cubes in a stack. One vertical tower therefore appears as one square."},{"text":"Three squares.","correct":false,"explanation":"Counting three squares confuses the tower’s height with its footprint. All three cubes occupy the same floor position, so the plan shows one square."},{"text":"Two squares.","correct":false,"explanation":"Two squares would imply two occupied floor positions. A single vertical tower occupies only one position, so its plan contains one square."},{"text":"Six squares.","correct":false,"explanation":"Six squares may come from counting visible cube faces rather than the footprint. A plan shows occupied floor positions, so this tower gives one square."}]},{"id":"043255b4-81ae-e36d-2b4e-579e5829971e","cardType":"basic","points":2,"front":"In a cube-solid side elevation, what height is drawn at each depth position?","back":"The maximum stack height at that depth.","mcqOptions":[{"text":"The maximum stack height at that depth.","correct":true,"explanation":"Looking from the side combines stacks that share a depth position, so the visible outline reaches the greatest stack height found there."},{"text":"The minimum stack height at that depth.","correct":false,"explanation":"Using the minimum height ignores taller stacks that block shorter ones in the side view. The elevation must show the maximum stack height at each depth."},{"text":"The total stack height at that depth.","correct":false,"explanation":"Adding stack heights counts cubes hidden behind one another rather than forming the visible outline. The side elevation uses only the maximum height at each depth."},{"text":"The average stack height at that depth.","correct":false,"explanation":"An average height does not represent the solid’s outline and could create a height no stack has. The maximum stack height must be drawn at each depth."}]},{"id":"428ce7e6-91b1-df66-db8a-598686dc04fe","cardType":"cloze","points":null,"front":"A cylinder has a [ ] plan and [ ] elevations.","back":"A cylinder has a circular plan and rectangular elevations.","mcqOptions":[{"text":"A cylinder has a circular plan and rectangular elevations.","correct":true,"explanation":"Viewed from above, a vertical cylinder shows its circular base. From either horizontal direction, its curved surface projects as a rectangle."},{"text":"A cylinder has a rectangular plan and circular elevations.","correct":false,"explanation":"This reverses the two projections. A vertical cylinder appears circular from above in the plan and rectangular from the front or side."},{"text":"A cylinder has a circular plan and circular elevations.","correct":false,"explanation":"The plan is circular, but a horizontal view includes the cylinder’s height and diameter, producing a rectangular elevation rather than a circle."},{"text":"A cylinder has a rectangular plan and rectangular elevations.","correct":false,"explanation":"The elevations are rectangular, but the plan shows the cylinder’s circular base rather than a rectangle. Therefore only the plan should be circular."}]},{"id":"b84d2a06-8b91-e083-e88c-ced002be0387","cardType":"cloze","points":null,"front":"A cone has a [ ] plan and [ ] elevations.","back":"A cone has a circular plan and triangular elevations.","mcqOptions":[{"text":"A cone has a circular plan and triangular elevations.","correct":true,"explanation":"Viewed from above, the circular base determines the plan. Viewed from the side or front, the apex and base diameter form a triangular outline."},{"text":"A cone has a square plan and triangular elevations.","correct":false,"explanation":"A square plan would belong to an object with a square base, such as a square-based pyramid. A cone has a circular plan and triangular elevations."},{"text":"A cone has a circular plan and rectangular elevations.","correct":false,"explanation":"The circular plan is correct, but a rectangular elevation is associated with a cylinder. A cone narrows to an apex, so its elevations are triangular."},{"text":"A cone has a triangular plan and circular elevations.","correct":false,"explanation":"This reverses the shapes seen from above and from the side. A cone has a circular plan because of its base, while its elevations are triangular."}]},{"id":"e4bb59a4-5f71-2f82-a5b2-429db4c54c17","cardType":"cloze","points":null,"front":"A square-based pyramid has a [ ] plan and [ ] elevations.","back":"A square-based pyramid has a square plan and triangular elevations.","mcqOptions":[{"text":"A square-based pyramid has a square plan and triangular elevations.","correct":true,"explanation":"The view from above shows the square base, so the plan is square. From the front or side, the base and apex produce a triangular elevation."},{"text":"A square-based pyramid has a rectangular plan and triangular elevations.","correct":false,"explanation":"A rectangle is tempting because every square is a type of rectangle, but plans use the precise visible shape. The plan is square and the elevations are triangular."},{"text":"A square-based pyramid has a square plan and rectangular elevations.","correct":false,"explanation":"The plan is square, but rectangular elevations would not show the sides meeting at an apex. The sloping faces produce triangular elevations."},{"text":"A square-based pyramid has a triangular plan and square elevations.","correct":false,"explanation":"This confuses the base shape with the shape of a side view. The square base gives a square plan, while the apex creates triangular elevations."}]},{"id":"9b8f320b-7ce0-3a7c-38ad-2a7d8c6b32fe","cardType":"basic","points":2,"front":"A cone has radius 2 cm. What is the base length in its side elevation?","back":"4 cm.","mcqOptions":[{"text":"4 cm.","correct":true,"explanation":"The base in the side elevation is the cone’s diameter. Since the diameter is twice the radius, its length is $2 \\times 2 = 4$ cm."},{"text":"2 cm.","correct":false,"explanation":"This uses the radius as the full base length. The side elevation shows the diameter, so the correct base length is $2 \\times 2 = 4$ cm."},{"text":"6.28 cm.","correct":false,"explanation":"This calculates the circumference using $2\\pi r$, but the side elevation needs the straight-line diameter. Doubling the radius gives the correct base length of 4 cm."},{"text":"8 cm.","correct":false,"explanation":"This doubles the diameter after already doubling the radius. The base spans one diameter only, so $2 \\times 2$ gives the correct length of 4 cm."}]},{"id":"c3887904-bde7-c0b7-29e2-e8f55d27e609","cardType":"basic","points":1,"front":"Where should the apex go in a cone side elevation?","back":"Directly above the midpoint of the base.","mcqOptions":[{"text":"Directly above the midpoint of the base.","correct":true,"explanation":"A right cone is symmetrical about its perpendicular axis. Therefore, its apex must be vertically aligned with the midpoint of the base in the side elevation."},{"text":"Directly above the left endpoint of the base.","correct":false,"explanation":"Placing the apex over an endpoint creates a skewed triangular outline rather than a symmetrical right cone. It should be directly above the midpoint of the base."},{"text":"Directly above the right endpoint of the base.","correct":false,"explanation":"Aligning the apex with the right endpoint incorrectly makes one side vertical and destroys the cone’s symmetry. The apex belongs above the midpoint of the base."},{"text":"Directly above the quarter-point of the base.","correct":false,"explanation":"The quarter-point does not lie on the cone’s central axis, so this placement would produce an asymmetrical elevation. The apex should be above the base midpoint."}]},{"id":"ce449ff9-50fa-a1a2-fafe-515b651ab2e3","cardType":"basic","points":1,"front":"For a cone or pyramid elevation, which height is normally used?","back":"The perpendicular height.","mcqOptions":[{"text":"The perpendicular height.","correct":true,"explanation":"An elevation uses the vertical distance from the base to the apex. This is the perpendicular height, measured at a right angle to the base."},{"text":"The slant height.","correct":false,"explanation":"The slant height runs along a face from the apex to the base edge, so it is not the vertical height normally used. Use the perpendicular height."},{"text":"The vertical edge.","correct":false,"explanation":"A cone has no vertical edge, and a pyramid’s edges are generally sloping. The required height is the perpendicular distance from the base to the apex."},{"text":"The base length.","correct":false,"explanation":"The base length controls the width of the elevation rather than its height. The vertical dimension to the apex is given by the perpendicular height."}]},{"id":"aba503f1-e5c6-b26e-ad5e-de262115074c","cardType":"basic","points":2,"front":"Using a scale of 2 cm to 1 m, how long should 250 cm be drawn?","back":"5 cm.","mcqOptions":[{"text":"5 cm.","correct":true,"explanation":"First convert 250 cm to 2.5 m. At 2 cm for each metre, the drawing length is $2.5 \\times 2 = 5$ cm."},{"text":"2.5 cm.","correct":false,"explanation":"This converts 250 cm to 2.5 m but then treats each metre as only 1 cm. Multiplying by the stated 2 cm gives 5 cm."},{"text":"1.25 cm.","correct":false,"explanation":"This divides 2.5 m by the scale value instead of multiplying by 2 cm per metre. The correct drawing length is $2.5 \\times 2 = 5$ cm."},{"text":"500 cm.","correct":false,"explanation":"This multiplies 250 by 2 without first converting centimetres to metres, mixing real and drawing units. Since 250 cm is 2.5 m, draw 5 cm."}]}]}],"examCountdown":null,"heading":"Plans and Elevations","title":"Plans and Elevations Flashcards","topbar":{"backHref":"/gcse/maths/ccea/flashcards"},"topicSidebar":"$L37"}]}],"topicId":"b4ad1b13-ec8f-9ee9-e2df-abe5ff1b941f","walled":"$L38"}],"$L39","$L3a"]