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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?

Respuesta :

calculista

Answer:

[tex]W=15\frac{1}{2}\ ft[/tex]  or  [tex]W=15.5\ ft[/tex]

Step-by-step explanation:

we know that

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

so

[tex]V=LWH[/tex]

we have

[tex]L=40\ ft[/tex]

[tex]H=10\frac{1}{2}=\frac{21}{2}\ ft[/tex]

[tex]V=6,510\ ft^3[/tex]

substitute the values

[tex]6,510=(40)(21/2)W[/tex]

solve for W

[tex]W=6,510/420=15.5\ ft[/tex]

[tex]W=15\frac{1}{2}\ ft[/tex]