Question

a company is making building blocks. what is the length of each side of the block? the length of each side is (sqrt3{1}\text{ ft}). v = 1 ft³

Explanation:

Step1: Recall volume formula for cube

For a cube, the volume formula is $V = s^3$, where $V$ is the volume and $s$ is the side - length.

Step2: Solve for side - length

Given $V = 1\mathrm{ft}^3$, we have $s^3=1$. Taking the cube - root of both sides, $\sqrt[3]{s^3}=\sqrt[3]{1}$, so $s = 1\mathrm{ft}$.

Answer:

$1\mathrm{ft}$