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Question
a building block in the shape of a cube was found in a toy box. it has side lengths of 2.5 inches. what is the volume of the building block, in cubic inches? provide an answer accurate to the nearest tenth.
Step1: Recall the volume formula for a cube
The volume \( V \) of a cube is given by \( V = s^{3} \), where \( s \) is the side - length of the cube.
Step2: Substitute the given side - length into the formula
Given \( s = 2.5 \) inches. Then \( V=(2.5)^{3}=2.5\times2.5\times2.5 \).
First, \( 2.5\times2.5 = 6.25 \). Then \( 6.25\times2.5=15.625 \).
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\( 15.6 \) cubic inches