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Sagot :
We are given the following dimensions of a concrete wall.
Height = 4 feet
Width = 18 inches
Length = 375 feet
We are asked to determine how many cubic yards of concrete will it take to pour the wall.
Recall that the volume of a rectangular prism is given by
[tex]V=l\cdot w\cdot h[/tex]Where l is the length, w is the width, and h is the height.
First, we need to convert all the given dimensions to yards.
There are 3 feet in 1 yard.
[tex]\begin{gathered} h=4\times\frac{1}{3}=\frac{4}{3}\; yd \\ l=375\times\frac{1}{3}=125\; yd \end{gathered}[/tex]There are 36 inches in 1 yard.
[tex]w=18\times\frac{1}{36}=0.5\; yd[/tex]Now, we have all the dimensions in yards, let us substitute them into the formula
[tex]\begin{gathered} V=l\cdot w\cdot h \\ V=125\cdot0.5\cdot\frac{4}{3} \\ V=83.33\; yd^3 \end{gathered}[/tex]Therefore, 83.33 cubic yards of concrete is required to pour the wall.
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