Question

ubes have sides of equal lengths. what is the fastest way to measure the volume of a cube - shaped table?

• measure the length, width, and height of the table, then multiply those numbers
• measure one side with a ruler, and multiply that number by itself three times
• measure one side with a ruler, and multiply that number by itself and then by π
• measure the length, width, and height of the table, then multiply those numbers by π

Explanation:

Step1: Recall the volume formula for a cube

The volume formula for a cube is \(V = s^3\), where \(s\) is the length of a side.

Step2: Analyze each option

• Option A: Measuring length, width, and height (which are all equal for a cube) and multiplying them is equivalent to \(s\times s\times s=s^3\), but it's redundant to measure three times when one measurement suffices.
• Option B: Measuring one side \(s\) and multiplying by itself three times (\(s\times s\times s = s^3\)) is correct and the fastest as it only requires one measurement.
• Option C: Multiplying by \(\pi\) is incorrect as \(\pi\) is not part of the cube - volume formula (\(V = s^3\), not \(V=s^2\times\pi\times s\)).
• Option D: Measuring length, width, height (again redundant for a cube) and multiplying by \(\pi\) is wrong since \(\pi\) is not in the cube - volume formula.

Answer:

B. measure one side with a ruler, and multiply that number by itself three times