Similar Solids

Question 1

Claire built two similar wooden chests in the shape of rectangular prisms. She needed 6 pints of paint to cover the outside of the larger chest fully and 4 pints to cover the outside of the smaller chest. How much more volume does the larger chest contain? A. 122% more B. 150% more C. 184% more D. 338% more

Revolt · Accepted Answer

C

Question 2

If the volumes of two similar rectangular prisms are 40 and 135 , find the scale factor of the two rectangular prisms. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 3

Analyze the diagram below and complete the instructions that follow. The two cylinders are similar. Find the volume of the larger cylinder. Round your answer to the nearest hundredth. A. 1,346.56 m3 B. 1,436.76 m3 C. 2,643.69 m3 D. 3,232.70 m3 Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 4

Analyze the diagram below and complete the instructions that follow. The two triangular prisms are similar. Find the volume of the smaller prism. Round your answer to the nearest hundredth. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 5

The surface areas of two similar pyramids are 48 and 108 . Find the scale factor. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 6

Analyze the diagram below and complete the instructions that follow.Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.A.scale factor: surface area ratio: B.scale factor: surface area ratio: C.scale factor: surface area ratio: D.scale factor: surface area ratio:

Revolt · Accepted Answer

C

Question 7

The surface areas of two similar cones are 20 and 125 . What is the scale factor? A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 8

Analyze the diagram below and complete the instructions that follow. The two cones are similar. Find the surface area of the smaller cone. Round your answer to the nearest hundredth. A. 78.54 cm2 B. 85.55 cm2 C. 94.25 cm2 D. 125.66 cm2 Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 9

Analyze the diagram below and complete the instructions that follow. The two square pyramids are similar. Find the volume of the larger pyramid. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 10

Analyze the image below and complete the instructions that follow.

Revolt · Accepted Answer

Responses may vary but should include some or all of the following information: The scale factor is 1:1000, which means the volume ratio of the model to the actual Grand Canyon is 1:1000^3, or 1:1,000,000,000. This ratio applies to the volume of the canyon and model as a whole, but it also applies to any part of the model and actual canyon, such as the river in the bottom. So there is 1,000,000,000 times more water in the actual canyon as in the model. Measuring the volume of water in the model and multiplying by 1,000,000,000 would allow you to approximate the volume of water in the canyon (obviously river levels, etc., affect the actual exact volume of water in the canyon at any given time). http://www.flickr.com/photos/aigle_dore/5824868343/

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