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?

Question

asked Apr 26, 2021 190k views

1 Answer

Joshua Fox · Answer 1 · 2021-04-30T04:50:12+0000

Answer:

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

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

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