Question

a man wants to build an above - ground gas tank for use in a shop. he has sketched out the tank shown below (not to scale). if each cubic foot holds 7.5 gallons, how high must the tank be to hold at least 180 gallons of fuel?

Explanation:

Step1: Calculate volume of the rectangular - gas tank

The volume $V$ of a rectangular prism is given by the formula $V = l\times w\times h$, where $l = 3$ ft, $w = 2$ ft and $h = 2$ ft. So $V=3\times2\times2=12$ cubic - feet.

Step2: Convert cubic - feet to gallons

We know that 1 cubic - foot is approximately 7.48 gallons. So the capacity of the tank in gallons is $C = 12\times7.48 = 89.76$ gallons.

Step3: Determine if the tank can hold 180 gallons

Since $89.76<180$, the tank cannot hold 180 gallons of fuel.

Answer:

No