Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. the volume of a cube - shaped crate is 27 cubic feet. what is the le…

Question

  1. the volume of a cube - shaped crate is 27 cubic feet. what is the length of one edge of the crate?

Explanation:

Step1: Recall volume formula for cube

The volume formula for 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 $V = 27$ cubic - feet, we have the equation $27=s^{3}$. Taking the cube - root of both sides, $\sqrt[3]{27}=s$. Since $3\times3\times3 = 27$, $\sqrt[3]{27}=3$.

Answer:

3 feet