Question

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?

Answer 1

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:

$V = lwh$

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 $l = 102.5$.

• The width is of 5' 4'', hence $w = 5.33$.

• The depth(height) is of 3' 3'', hence $h = 3.25$.

Then:

$V = lwh = 102.5(5.33)(3.25) = 1776$

The volume that was removed is 1776 cubic feet.

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