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You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.

Part A
Find the volume of the fish tank in cubic inches.

The volume is
cubic inches.

Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.

Convert 976 cups to gallons.

976 cups equals
gallons.

User Mthpvg
by
4.7k points

1 Answer

14 votes

Answer:

A. 14040 cubic inches

B. 61 gallons

Explanation:

The volume of a cuboid is given by the formula ...

V = LWH

__

A.

One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.

One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.

The volume of the fish tank is ...

V = (39 in)(18 in)(20 in) = 14,040 in³

The volume is 14,040 cubic inches.

__

B.

One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.

976 cups equals 61 gallons.

_____

Additional comment

One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

User Daniel Nill
by
4.5k points