Question

question 1 of 10
the volume of a cube is 96 cubic millimeters. what is the length of each edge of the cube?
a. 32 mm
b. ∛17 mm
c. ∛2 mm
d. 48 mm

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = s^{3}$, where $s$ is the length of an edge. Given $V = 96$ cubic - millimeters, we have the equation $s^{3}=96$.

Step2: Solve for $s$

To find $s$, we take the cube - root of both sides: $s=\sqrt[3]{96}$. We can factorize $96$ as $96 = 2^{5}\times3$. Then $\sqrt[3]{96}=\sqrt[3]{2^{3}\times12}=2\sqrt[3]{12}$ mm.

Answer:

B. $2\sqrt[3]{12}$ mm