Question

Julie has a 20-gallon fish tank full of water that she needs to move from one room to another. She pours out all the water.

The fish tank is a right rectangular prism.

The fish tank weighs 225 pounds when it is filled with water.

The dimensions of the water inside the fish tank are 30 inches by 12 inches by 12 inches.

1 cubic foot of water weighs 62.4 pounds.

Enter the weight of the fish tank when it is empty, to the nearest pound.

Answer 1

The weight of the fish tank when it is empty is 69 pounds

Volume

Volume is the amount of space occupied by a three dimensional object or figure.

The volume of rectangular prism = length * width * height

Hence:

Volume of water = 30 * 12 * 12 = 4320 in³

1 ft³ = 1728 in³

4320 in³ =  4320 in³ * 1ft³ / 1728 in³ = 2.5 ft³

1 ft³ = 62.4 pounds

2.5 ft³ = 2.5 ft³ * 62.4 pounds per ft³ = 156 pounds

The weight of the fish tank when it is empty = 225 pounds - 156 pound = 69 pounds

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