Question

A contractor digs a hole for the basement of a new house that is 40 feet long and 10 1/2 feet deep. What is width of the hole is 6,510 cubic feet of dirt are removed?

Answer 1

`W=15(1)/(2)\ ft` or
`W=15.5\ ft`

Explanation:

we know that

The volume of of the hole is given by the formula of volume of rectangular prism

so

`V=LWH`

we have

`L=40\ ft`

`H=10(1)/(2)=(21)/(2)\ ft`

`V=6,510\ ft^3`

substitute the values

`6,510=(40)(21/2)W`

solve for W

`W=6,510/420=15.5\ ft`

`W=15(1)/(2)\ ft`