Question

Which expression is equivalent to the side length of a cube with a volume of 512 cubic units?

A) ∛512
B) ∛256
C) ∛1024
D) ∛64

Answer 1

The side length of a cube with a volume of 512 cubic units is determined by taking the cube root of 512, which is the correct expression provided in Option A) ∛512.

Step-by-step explanation:

The expression equivalent to the side length of a cube with a volume of 512 cubic units is found by taking the cube root of the volume. The formula for the volume of a cube is V = a³, where V is the volume and a is the length of one side. Therefore, to find the side length a, we take the cube root of V.

For a cube with a volume of 512 cubic units, the side length a is equal to the cube root of 512:

a = ∛512

Therefore, the correct expression is Option A) ∛512.