Question

A portable fuel tank used to transport gasoline is in the shape of a rectangular prism. The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide. The volume of the tank is
33,488 cubic feet.
What equation represents the volume of the portable fuel tank

Answer 1

The equation represents the volume of the portable fuel tank in terms of width (w) is w³ + 34w² + 145w - 33488 = 0.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A portable fuel tank used to transport gasoline is in the shape of a rectangular prism.

The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide.

The volume of the tank is 33,488 cubic feet.

Let the width of the rectangular prism be w. Then we have

length = w + 5

height = w + 29

Then the volume is given as

Volume = l × w × h

33488 = (w + 5) (w) (w + 29)

Then we have

$\begin{aligned} \rm w^3 + 5w^2 + 29w^2 + 145w &=33488 \\\\\rm w^3 + 34w^2 + 145w - 33488 &= 0\\\\\rm (w - 23)(2w+57)(2w + 57) &= 0\\\\\rm w &= 23, -28.5, -28.5 \end{aligned}$

More about the geometry link is given below.

brainly.com/question/7558603

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