Question

an architect designs a cube - shaped sculpture where the volume is given by $v = 13824$ cubic inches. what is the length of one edge of the cube?
24 in
4608 in
1536 in
18 in

Explanation:

Step1: Recall cube - volume formula

The volume formula of a cube is $V = s^{3}$, where $s$ is the length of an edge.

Step2: Solve for $s$

Given $V = 13824$, we have $s=\sqrt[3]{V}=\sqrt[3]{13824}$.
We know that $24\times24\times24=24^{3}=13824$. So $s = 24$.

Answer:

A. 24 in