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Question
a wooden shipping crate is a cube with a volume of 64 cubic feet. what is the length of one edge of the wooden crate? feet
Step1: Recall the volume formula for a cube
The volume formula for a cube is \(V = s^{3}\), where \(s\) is the length of an edge.
Step2: Solve for \(s\)
Given \(V = 64\) cubic feet, we have the equation \(s^{3}=64\). Taking the cube - root of both sides, \(s=\sqrt[3]{64}\). Since \(4\times4\times4 = 64\), \(\sqrt[3]{64}=4\).
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