If the surface area of a cube is 600 square units, what is the volume in cubic units of the cube?

1000 cubic units

Step-by-step explanation:

In order to find the volume, we must find the side length. We can do this through the surface area. The surface area of a cube can be found using the following formula.

We know the surface area is 600 square units. We can substitute 600 un² in for A.

We want to find s, the side length. Therefore, we must isolate s.

6 is being multiplied by s². The inverse of multiplication is division. Divide both sides of the equation by 6.

s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

The side length is 10 units.

Now we can find the volume using the following formula.

The side length is 10 units. Substitute 10 un in for s.

Solve the exponent.

⇒ (10 un)³= 10 un * 10 un * 10 un= 100 un²* 10 un= 1000 un³

The volume is 1000 cubic units.

step-by-step explanation:

b and c