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One gallon of water weighs 8.34 pounds, and one cubic foot contains 7.48 gallons of water. A fish tank measures 36 inches long, 24 inches wide, and 20 inches high. How many pounds of water will be in the fish tank?

A. 64.4 lbs
B. 74.8 lbs
C. 83.4 lbs
D. 624 lbs

Answer :

Final answer:

To determine the weight of water in the fish tank, convert the tank's dimensions from inches to feet, calculate its volume in cubic feet, convert that volume to gallons, and finally convert gallons to pounds.

The fish tank holds 624 lbs of water.

the correct answer is D. 624 lbs.

Explanation:

To calculate the weight of water in the fish tank, we need to find its volume in cubic feet and then convert that to gallons and subsequently to pounds.

First, we convert the dimensions of the fish tank from inches to feet:

Length = 36 inches / 12 inches per foot = 3 feet

Width = 24 inches / 12 inches per foot = 2 feet

Height = 20 inches / 12 inches per foot = 1.67 feet

Next, we calculate the volume of the fish tank in cubic feet:

Volume = Length x Width x Height = 3 feet x 2 feet x 1.67 feet = 10 cubic feet (approx.)

Now we convert the volume to gallons using the conversion factor:

Volume in gallons = Volume in cubic feet x 7.48 gallons per cubic foot = 10 cubic feet x 7.48 gallons/cubic foot = 74.8 gallons

Finally, we convert gallons to pounds using the weight of water:

Weight in pounds = Volume in gallons x 8.34 pounds per gallon = 74.8 gallons x 8.34 pounds/gallon = 623.752 pounds, which rounds to 624 pounds. Hence, the correct answer is D. 624 lbs.

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Rewritten by : Barada

Answer:

3 ft × 2 ft × 1 2/3 ft = 10 ft³

(10 ft³)(7.48 gal/ft³)(8.34 lb/gal) =

623.832 lbs

The correct answer is D.