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Question
what is the volume? 19.8 ft 18.3 ft 3.7 ft cubic feet
Step1: Recall the volume formula for a rectangular prism
The volume \( V \) of a rectangular prism is \( V = l\times w\times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.
Step2: Substitute the given values
Here, \( l = 19.8\), \( w = 18.3\), \( h = 3.7\). So \( V=19.8\times18.3\times3.7\).
First, calculate \(19.8\times18.3\):
\(19.8\times18.3=(20 - 0.2)\times18.3=20\times18.3-0.2\times18.3=366 - 3.66 = 362.34\).
Then, calculate \(362.34\times3.7\):
\(362.34\times3.7=(360 + 2.34)\times3.7=360\times3.7+2.34\times3.7\).
\(360\times3.7 = 1332\), \(2.34\times3.7=(2 + 0.34)\times3.7=2\times3.7+0.34\times3.7=7.4+1.258 = 8.658\).
\(362.34\times3.7=1332+8.658=1340.658\).
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\(1340.658\)