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question 1
find the volume of the rectangular solid with length ( l = 7.6 ) ft, width ( w = 4.2 ) ft, and height ( h = 6.9 ) ft. round to the nearest whole number, if necessary.
( v = square ) ( \text{ft}^3 )
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Step1: Recall the volume formula for a rectangular solid
The volume \( V \) of a rectangular solid is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Step2: Substitute the given values into the formula
We are given \( l = 7.6 \) ft, \( w = 4.2 \) ft, and \( h = 6.9 \) ft. Substituting these values into the formula, we get:
\( V = 7.6 \times 4.2 \times 6.9 \)
First, calculate \( 7.6 \times 4.2 \):
\( 7.6 \times 4.2 = 31.92 \)
Then, multiply the result by \( 6.9 \):
\( 31.92 \times 6.9 = 220.248 \)
Step3: Round to the nearest whole number (if necessary)
The value \( 220.248 \) rounded to the nearest whole number is \( 220 \).
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\( 220 \)