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A sat math problem is very simple! ! ! ! ! ! ! ! ! ! !
A regular cube with a volume of 8 cubic centimeters is inscribed on a sphere, so that each vertex of the cube is inscribed on the sphere.

What is the diameter and length of the sphere? In centimeters.

Let the side length of a regular cube be a.

Because a 3 = 8

So a=2

Just find the diagonal of the regular cube, which is the diameter of the sphere.

Here are two use of Pythagorean theorem,

The diagonal of the bottom surface is (√ 2) a.

The diagonal of the cube is (√3)a=2√3 cm.

√ is the root sign, and the top horizontal line cannot be displayed.