Question

A fish tank is filled with water. The tank holds 150 gallons. Each cubic foot of water contains about 7.5 gallons. The tank is 5 feet long and 3 feet high. What is the width of the tank? Please explain

Answer 1

Hello,
We know that the tank holds total 150 gallons of water, and each cubic foot of water contains about 7.5 gallons, so we have this:

1 cubic foot of water contains 7?5 gallons
?cubic foot of water contains 150 gallons

Step 1:
Cross multiply
150×1=150
Step 2:
150÷7.5=20 cubic feet, so the volume of the tank is 20 cubic feet.

Furthermore, this tank is the rectangular prism, so
V=l×w×h
Substitute the volume, the length, and high into this tank

20 ft.^3=5×3×w
20ft.^3=15w
w=1/3 feet. As a result, the width of the tank is 1/3 feet. Hope it help!

Answer 2

8 feet

Explanation:

7.5 gallons= 1 cubic feet

1 gallon =
`(1)/(7.5)` cubic feet

We are given that The tank holds 150 gallons.

150 gallons =
`(150)/(7.5)` cubic feet = 20 cubic feet

Volume of tank = 120 cubic feet

Length of the tank = 5 feet

Height of the tank = 3 feet

Volume of tank =
`Length * Width * Height[/</strong>tex]</p><p>                          = [tex]5 * Width * 3`

Since we are given that Volume of tank = 120 cubic feet

So,
`120=5 * Width * 3`

`120=15 * Width`

`(120)/(15)=Width`

`8=Width`

Thus the width of the tank is 8 feet.