Question

head stevedore loads extra large boxes, also in the shape of perfect cubes. the volume of each box is 512 cubic feet. what are the dimensions of an extra large box? a 6x6x6 b 4x8x16 c 8x8x8 d 4x4x32

Explanation:

Step1: Recall volume formula for cube

The volume $V$ of a cube is $V = s^3$, where $s$ is the side - length.

Step2: Solve for side - length

Given $V = 512$ cubic feet, we need to find $s$ such that $s^3=512$. Taking the cube - root of 512, $\sqrt[3]{512}=\sqrt[3]{8\times8\times8}=8$. So the dimensions of the cube are $8'\times8'\times8'$.

Answer:

C. $8'\times8'\times8'$