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Question
what is the volume? 18.8 yd 12.7 yd 11.7 yd cubic yards
Step1: Recall the volume formula for a rectangular prism
The volume \( V \) of a rectangular prism is given by \( V = l\times w\times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Step2: Substitute the given values into the formula
Here, \( l = 12.7\) yd, \( w = 11.7\) yd, and \( h = 18.8\) yd. So \( V=12.7\times11.7\times18.8\).
First, calculate \( 12.7\times11.7 = 148.59\).
Then, calculate \( 148.59\times18.8\).
\(148.59\times18.8=(150 - 1.41)\times18.8=150\times18.8-1.41\times18.8\).
\(150\times18.8 = 2820\), \(1.41\times18.8=(1 + 0.4+0.01)\times18.8=18.8+7.52 + 0.188=26.508\).
\(2820-26.508 = 2793.492\).
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\(2793.492\)