1) Find the following ratios for two similar figures



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Geometry

Ratio Practice

Use the r : r2 : r3 theorem to solve the following problems. Show all work!

1) Find the following ratios for two similar figures.

a) If the side ratio is 4:17, then the area ratio is ___________.

b) If the volume ratio is 216:512, then the side ratio is ___________.

c) If the area ratio is 49:121, then the volume ratio is ___________.

d) If the volume ratio is 729:1000, then the surface area ratio is ______________.

e) If the area ratio is 256:361, then the perimeter ratio is ___________.

f) If the side ratio is 13:14, then the volume ratio is ________________.

2) Two figures have a ratio of similarity of 3:4. If the area of the larger figure is 100 square units, what is the area of the smaller figure?

3) Two similar figures have a ratio of volumes of 64:27. If the perimeter of the smaller figure is 15 units, what is the perimeter of the larger figure?

4) Two prisms are similar. Their ratio of similarity is 3:5.

a) If an edge of the larger prism is 24 units, find the length of the corresponding edge of the smaller prism.

b) If the area of a base of the smaller prism is 60 square units, find the area of the corresponding base of the larger prism.

|5) The two triangular prisms at the right are similar. |[pic] |

|a) If the sum of the lengths of the edges of the larger prism is 126', find the sum of the | |

|edges of the smaller prism. | |

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|b) If the base area of the larger prism is 19.5 square feet, find the base area of the | |

|smaller prism. | |

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|c) If the volume of the smaller prism is 28 cubic feet, find the volume of the larger prism. | |

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