Question

question 4
1 pts
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?
18 in
24 in
4608 in
1536 in

Explanation:

Step1: Recall volume formula

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

Step2: Solve for $s$

We have $s=\sqrt[3]{V}$. Given $V = 13824$, then $s=\sqrt[3]{13824}$.

Step3: Calculate cube - root

$\sqrt[3]{13824}=24$.

Answer:

24 in