Question

What is the side length of a cube with a volume of 64 mm3? Cube V = s3   1. Substitute the value into the formula:      64 = s3 2. Undo the cube by applying the cube root:    3√64 = 3√s3   What is the side length of the cube? mm

Answer 1

We have been given that the volume of cube is 64 cubic mm. We are asked to find the side length of the cube.

We will use volume of cube formula to solve our given problem.

$V=s^3$, where

V = Volume of cube,

s = Side length of cube.

Upon substituting the given volume in above formula, we will get:

$64=s^3$

Now we will take cube-root on both sides of equation.

$\sqrt[3]{64}=\sqrt[3]{s^3}$

$\sqrt[3]{4^3}=\sqrt[3]{s^3}$

Using rule $\sqrt[n]{a^n}=a$, we will get:

$4=s$

Therefore, the side length of the cube is 4 mm.