How to find the diagonal of a cube

Practice Questions

PSAT Math › How to find the diagonal of a cube

Questions
6
1

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?

2

If a cube is 3” on all sides, what is the length of the diagonal of the cube?

3

A cube is inscribed in a sphere of radius 1 such that all 8 vertices of the cube are on the surface of the sphere. What is the length of the diagonal of the cube?

4

What is the length of the diagonal of a cube with volume of 1728 in3?

5

What is the length of the diagonal of a cube with volume of 512 in3?

6

What is the length of the diagonal of a cube with surface area of 294 in2?

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