Question

a number that is a cube of an integer is a perfect cube. the number 216 is also a perfect cube. a cube - shaped art sculpture has a volume of 64 cubic feet. what is the length of each edge of the cube? the length of each edge is feet.

Explanation:

Step1: Recall volume formula for cube

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

Step2: Solve for the edge - length

Given $V = 64$ cubic feet, we set up the equation $s^{3}=64$. Taking the cube - root of both sides, $\sqrt[3]{s^{3}}=\sqrt[3]{64}$. Since $4\times4\times4 = 64$, $s = 4$ feet.

Answer:

4