Solid Geometry

Practice Questions

PSAT Math › Solid Geometry

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1

A right pyramid with a square base has a height that is twice the length of one edge of the base. If the height of the pyramid is 6 meters, find the volume of the pyramid.

2

A rectangular prism has a volume of 144 and a surface area of 192. If the shortest edge is 3, what is the length of the longest diagonal through the prism?

3

A certain cube has a side length of 25 m. How many square tiles, each with an area of 5 m2, are needed to fully cover the surface of the cube?

4

A regular tetrahedron has an edge length of . What is its volume?

5

A regular tetrahedron has an edge length of . What is its volume?

6

What is the approximate volume of a square pyramid with one edge of the base measuring and a height equal to the diagonal of its base?

7

A certain cube has a side length of 25 m. How many square tiles, each with an area of 5 m2, are needed to fully cover the surface of the cube?

8

A rectangular prism has a volume of 144 and a surface area of 192. If the shortest edge is 3, what is the length of the longest diagonal through the prism?

9

A regular tetrahedron has an edge length of . What is its volume?

10

A certain cube has a side length of 25 m. How many square tiles, each with an area of 5 m2, are needed to fully cover the surface of the cube?

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