Surface Area and Volume of Prisms and Pyramids Review

The two pyramids shown are similar. If the smaller pyramid has a height of 21 meters, then what is the height of the larger pyramid?

• 11 meters

• 81.49 meters

• 33 meters

• 7 meters

By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3?

• 1/3

• 1/6

• 1/9

• 1/27

Two similar pyramids have volumes of 648 cm³ and 375 cm³. Find the ratio of their slant heights.

• 375/648

• 5/6

• 25/36

• 125/216

Which of the following measurements are related to the scale factor? Check all that apply.

• surface areas

• heights

• side lengths

• volume

• perimeter

Find the surface area of the hexagonal pyramid.

• 1,861 sq. meters

• 1,609.1 sq. meters

• 1,456.8 sq. meters

• 1,333 sq. meters

Which of the following measurements would be related to the area ratio? Check all that apply.

• Perimeter

• Surface Area

• Side Lengths

• Lateral Surface Area

• Heights

What is the volume ratio of two pyramids with surface areas of 80 cm² and 245 cm²?

• 4/7

• 16/49

• 64/343

• 256/2401

Two similar rectangular prisms have widths of 30 centimeters and 50 centimeters. If the larger prism has a volume of 812.5 cm³, then what is the volume of the smaller prism?

• 1354.17 cm³

• 487.5 cm³

• 175.5 cm³

• 292.5 cm³

Two rectangular prisms are similar. The smaller prism has a volume of 24 in³ and the larger prism has a volume of 375 in³. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism?

• 2/5

• 4/25

• 8/125

• 24/375

What is another name for a triangular pyramid?

• Prism

• Tetrahedron

• Hemisphere

• Cone