contestada

If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?

Respuesta :

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

  • The length is of 102' 6''(102 feet and 6 inches), hence [tex]l = 102.5[/tex].
  • The width is of 5' 4'', hence [tex]w = 5.33[/tex].
  • The depth(height) is of 3' 3'', hence [tex]h = 3.25[/tex].

Then:

[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528

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