Question

The volume of a cube is V = s³, where s is the length of one edge of the cube. What is the edge length s for each cube? Drag the answer into the box to match each description

The cube with V = 999 in³
​s=999−−−√3​ ​in.s = 999 in.​s=999−−−√2​ in.s = 999³ in.

Answer 1

I took the test and its 999−−−√3​
:)

Answer 2

The length of one side of the edges is ∛999 in

Explanation:

Given:

Shape: Cube

Volume: V = s³

s = Length of one edge of the cube

The volume of a cube is calculated by multiplying the length of one of its edges by itself 3 times

i.e.

Volume, V = s * s * s

V = s³

Given that the volume is 999in³

By Substitution;

V = 999in³

So,

999in³ = s³ --- Rearrange

s³ = 999in³ ----- Find the cube root of both sides

∛s³ = ∛(999in³)

s =∛(999in³)

s = ∛999 in

So, the length of one side of the edges is ∛999 in