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

Question

the volume of a cube - shaped crate is 27 cubic feet. what is the length of one edge of the crate? each edge of the crate is feet. (type an integer or a decimal.)

Explanation:

Step1: Recall volume formula for cube

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

Step2: Solve for $s$

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

Step3: Calculate cube - root

Since $3\times3\times3 = 27$, $\sqrt[3]{27}=3$.

Answer:

3