Geometry | Unit 5 | Lesson 14: Working with Pyramids | Practice Problems

A pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.

• a square with side length 6 inches

• a 3 inch by 4 inch rectangle

• a 4 inch by 9 inch rectangle

• a circle with radius 4 inches

• a hexagon with an area of 36 square inches

A company makes a block of cheese in the shape of a rectangular prism with dimensions 4 inches by 2 inches by 2 inches. They want to make a new block, in the shape of a rectangular pyramid, that uses the same amount of cheese. Determine two sets of possible dimensions for the pyramid.

Select all the solids with volume 40 cubic units.

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• Solid F

The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?

• 2 units

• 4 units

• 6 units

• 10 units

A solid can be constructed with 2 congruent triangles and 3 rectangles. What is the name of this solid?

• right triangular pyramid

• right triangular prism

• square pyramid

• rectangular prism

Mai, Andre, and Lin are discussing the volume of a scaled box. The original box holds 7 cubic inches. The new box holds 448 cubic inches. Mai thinks the scale factor is 4, Andre thinks the scale factor is 16, and Lin thinks the scale factor is 64. Do you agree with any of them? Explain your reasoning.