Question

The volume of a cube is 512 cubic inches.What is the length of each side of the cube

Answer 1

Let the length of each side of cube = a

$volume = 512 \\ \\ \: \Rightarrow {a}^{3} = 512 \\ \\ \Rightarrow \: a = \sqrt[3]{512} = \sqrt[3]{8 \times 8 \times 8} \\ \\ \Rightarrow a = 8 \: inch$

Length of each side is 8 inches.

Answer 2

8 inches

the volume of a cube = s³ → ( s is the side length)

here the volume = 512 thus

s³ = 512 ⇒ s = ∛512 = 8

the length of each side = 8 inches since 8³ = 512