":"

Identical shape
Matching lengths enlarged/reduced by the same multiplier

","points":2},{"id":"b739a5f6-31c6-4898-b7ad-76f2481ded02","cardType":"cloze","front":"If the linear scale factor is $k$, then the area scale factor is $\\text{[...]}$.","back":"If the linear scale factor is $k$, then the area scale factor is $\\boxed{k^2}$.","points":null},{"id":"32ca73b4-0121-4a28-92a2-951602a3afe0","cardType":"cloze","front":"If the linear scale factor is $k$, then the volume scale factor is $\\text{[...]}$.","back":"If the linear scale factor is $k$, then the volume scale factor is $\\boxed{k^3}$.","points":null},{"id":"0f6b78b0-e3d5-4424-96e0-7a84ef02d282","cardType":"basic","front":"If the radius of a shape increases by a factor of 3, what is the area scale factor?","back":"$$9$ (since $3^2 = 9$)","points":1},{"id":"9b40f67e-17e3-419f-8110-016edb02d81d","cardType":"basic","front":"If the height of a shape increases by a factor of 2, what is the volume scale factor?","back":"$$8$ (since $2^3 = 8$)","points":1},{"id":"fea2eff5-f57e-4e4e-b7de-95bc6cc961fe","cardType":"basic","front":"How is the linear scale factor ($k$) calculated from the area scale factor?","back":"$$k = \\sqrt{\\text{area scale factor}}$","points":1},{"id":"ed5c4464-afcb-428f-8313-1f358bef00d1","cardType":"basic","front":"How is the linear scale factor ($k$) calculated from the volume scale factor?","back":"$$k = \\sqrt[3]{\\text{volume scale factor}}$","points":1},{"id":"cd0f6865-b0ca-4db5-8d90-27ea3b7484be","cardType":"cloze","front":"Surface area changes by the square of the scale factor because it is a [ ] measurement, whereas volume uses the cube because it is 3D.","back":"Surface area changes by the square of the scale factor because it is a 2D measurement, whereas volume uses the cube because it is 3D.","points":null},{"id":"b1de99ba-336f-46ff-b524-d76015810a3a","cardType":"cloze","front":"Surface area changes by the square of the scale factor because it is a 2D measurement, whereas volume uses the cube because it is [ ].","back":"Surface area changes by the square of the scale factor because it is a 2D measurement, whereas volume uses the cube because it is 3D.","points":null},{"id":"36d78405-4a39-402d-b300-e9f2d9399063","cardType":"basic","front":"When moving from a larger similar shape to a smaller similar shape, how do you use the scale factor?","back":"Divide by the scale factor (e.g. divide by $k$ for length, $k^2$ for area).","points":1},{"id":"401f6cf1-d33a-4085-a20d-5141f4e06522","cardType":"basic","front":"What is the 3-step process to find a missing volume if you are only given two matching surface areas?","back":"

Find the area scale factor
Square root it to find the linear scale factor ($k$)
Cube $k$ to find the volume scale factor ($k^3$)

","points":3},{"id":"47b4656d-d182-4878-ba12-18dc0976e6cd","cardType":"basic","front":"What is a frustum?","back":"The solid remaining when the top of a cone or pyramid is cut off parallel to the base.","points":1},{"id":"a5a88ad0-4a6f-48da-9cda-60c5fa9e9452","cardType":"basic","front":"How is the volume of a frustum calculated using similar shapes?","back":"$$\\text{Large cone volume} - \\text{Small cone volume}$","points":1},{"id":"7f35d84c-04f2-49d0-b4c3-69fa7da2913c","cardType":"basic","front":"What is the formula for the volume of a cone?","back":"$$V = \\frac{1}{3}\\pi r^2h$","points":1},{"id":"7dca68f0-f9f7-4892-937e-c6b7e810c1f7","cardType":"cloze","front":"Before using the cone volume formula, you must check if you are given the

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards