inear scale factor ($k$) when going from Shape A to Shape B?","back":"$$$k = \\frac{\\text{length on B}}{\\text{matching length on A}}$$","points":1},{"id":"1dfb680f-fcb0-4dcb-b241-b9f7fbca8b33","cardType":"basic","front":"How do you calculate the area scale factor from the linear scale factor ($k$)?","back":"Square the linear scale factor: $k^2$.","points":1},{"id":"4eeceb83-5fd4-46af-87c1-ef4cb24c5551","cardType":"basic","front":"How do you calculate the volume scale factor from the linear scale factor ($k$)?","back":"Cube the linear scale factor: $k^3$.","points":1},{"id":"78b960ad-7a19-4e58-a9cd-00e0e8aaf3e4","cardType":"cloze","front":"For similar shapes, if the length scale factor is $k$, the area scale factor is $\\text{[...]}$ and the volume scale factor is $k^3$.","back":"For similar shapes, if the length scale factor is $k$, the area scale factor is $\\boxed{k^2}$ and the volume scale factor is $k^3$.","points":null},{"id":"ef3c4d54-0fbc-4d6c-bec8-895a9e9a5689","cardType":"cloze","front":"For similar shapes, if the length scale factor is $k$, the area scale factor is $k^2$ and the volume scale factor is $\\text{[...]}$.","back":"For similar shapes, if the length scale factor is $k$, the area scale factor is $k^2$ and the volume scale factor is $\\boxed{k^3}$.","points":null},{"id":"f8d3fc91-3b32-482e-a538-248509b72666","cardType":"basic","front":"If the length of a shape doubles, what happens to its surface area?","back":"It is multiplied by 4 (because $2^2 = 4$).","points":1},{"id":"54f9aab5-8b89-4df1-97d1-8e279bc5d3b2","cardType":"basic","front":"If the length of a shape triples, what happens to its volume?","back":"It is multiplied by 27 (because $3^3 = 27$).","points":1},{"id":"bd62627a-eb45-462f-a5af-688251177a60","cardType":"basic","front":"What value will the linear scale factor ($k$) have if the shape is being shrunk?","back":"$$k$ will be less than 1.","points":1},{"id":"e6943c26-9b6e-4e70-a581-ad8c44e06d3b","cardType":"cloze","front":"To find the linear scale factor from an area scale factor, you must [ ] the area scale factor.","back":"To find the linear scale factor from an area scale factor, you must square root the area scale factor.","points":null},{"id":"7e9dfc16-7b43-4047-aee7-2ad46cc9cbb2","cardType":"basic","front":"What are the three steps to find a volume when given two surface areas?","back":"

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

","points":3},{"id":"9194c09b-39b4-4222-bd59-284ad8375874","cardType":"basic","front":"Two similar solids have surface areas in the ratio $25:49$. What is their length ratio?","back":"$$5:7$ (the square root of the area ratio).","points":2},{"id":"94e09191-0d34-494a-aa1d-517326670bc6","cardType":"basic","front":"What is a frustum?","back":"The solid remaining after the top of a cone or pyramid is cut off parallel to its base.","points":1},{"id":"76c9618e-af78-4b79-a7a9-5bf7552dd9d2","cardType":"basic","front":"How is the volume of a frustum calculated?","back":"Total volume of the large cone minus the volume of the small cone removed from the top.","points":2},{"id":"bf41a437-1a6e-4d3d-b9db-a0f84dddeb70","cardType":"cloze","front":"The formula for the volume of a cone is $V = $ $$\\text{[...]}$$.","back":"The formula for the volume of a cone is $V = $ $$\\boxed{\\frac{1}{3}\\pi r^2h}$$.","points":null},{"id":"b643e23a-0086-4b52-94d1-5a207447f7ea","cardType":"basic","front":"When using the cone volume formula, what must you do if the question provides the diam

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards

Similar Shapes (Area and Volume) Flashcards