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

Respuesta :

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:

8 feet

Step-by-step explanation:

7.5 gallons= 1 cubic feet

1 gallon = [tex]\frac{1}{7.5}[/tex] cubic feet

We are given that The tank holds 150 gallons.

150 gallons = [tex]\frac{150}{7.5}[/tex] 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 = [tex]Length \times Width \times Height[/tex]

                         = [tex]5 \times Width \times 3[/tex]

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

So, [tex]120=5 \times Width \times 3[/tex]

[tex]120=15 \times Width [/tex]

[tex]\frac{120}{15}=Width [/tex]

[tex]8=Width [/tex]

Thus the width of the tank is 8 feet.

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