Answer :
The width of the rectangular hole filled with dirt is W = 15.5 feet
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the width of the rectangular hole be represented as W
Now , the volume of the dirt removed V = 6510 feet³
The length of the rectangular hole L = 40 feet
The height of the rectangular hole H = 10 1/2 feet = 10.5 feet
So , Volume of Rectangle = Length x Width x Height
On simplifying , we get
6510 = 40 x 10.5 x ( W )
6510 = 420W
Divide by 420 on both sides , we get
W = 15.5 feet
Therefore , the value of W is 15.5 feet
Hence , the width of the rectangular hole is 15.5 feet
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Well, since we know (or should know) that cubic feet is found by LxWxH. We take 6510/ 10.5=620 then take the 620/ 40= 15.5. Thus your width is equal to 15.5ft
