Question

A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster

Answer 1

The volume of a rectangular prism is found via the following formula:

V=l•w•h, where V is volume, l is length, w is width, and h is height.

So, we can input the known values into the formula and solve for the unknown values since we already have the volume.

(880)=l•(8)•(5)

Simplify:

880=l•40

l•40 = 40l

880=40l

Solve for l:

Divide both sides by 40:

880/40=l

22=l

Apply the symmetric property:

l=22

Now, let’s plug the length back into the volume formula and check that it is correct:

880=(22)•8•5

880=880

So, our answer is correct.


Answer: the length is 22 feet.