Geometry

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A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?

A

The surface areas of two similar solids are 1183 and 2023. If the volume of the larger solid is 2333, find the volume of the smaller solid. Round your answer to the nearest hundredth.

A

Find the volume of the cone if the heights of the solids are equal and the cross sectional areas at every level parallel to the respective bases are also equal. Round to the nearest hundredth.

B

The surface areas of two similar hexagonal prisms are 882 and1058. What is the scale factor of the smaller prism to the larger prism?

B

The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is 2004-06-01-07-00_files/i0160001.jpg.

B

two similar rectangular prisms have a scale factor of 3.4/5.1. Find the ratio of their volumes.

B

The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth

C

The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to

C

The cylinders are similar. Find the volume of the smaller cylinder. Round your answer to the nearest hundredth.

D

The surface areas of two similar solids are 2004-06-01-07-00_files/i0340000.jpg and 2004-06-01-07-00_files/i0340001.jpg. If the volume of the smaller solid is 2004-06-01-07-00_files/i0340002.jpg, find the volume of the larger solid. Round your answer to the nearest hundredth.

D

The two square pyramids are similar. Find the surface area of the larger pyramid. Round to the nearest tenth.

D


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