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Water weighs about 63 pounds per cubic foot, and a cubic foot of water is about 7.5 gallons. A king-size waterbed mattress measures 5.5 feet by 6.5 feet by 8 inches deep. To the nearest pound, how much does the water in this waterbed weigh?

A. 2270 pounds
B. 2556 pounds
C. 2842 pounds
D. 3128 pounds

Answer :

Final answer:

To find the weight of the water in a king-size waterbed, the volume in cubic feet is calculated and then multiplied by the weight of water per cubic foot, resulting in 1494 pounds. The available options in the question do not match this calculated weight, suggesting an error in the question's options or the measurement details provided.

Explanation:

The question involves calculating the weight of the water in a king-size waterbed mattress. First, we need to find the volume of the mattress in cubic feet. Since the mattress is 5.5 feet by 6.5 feet by 8 inches deep, we convert the depth from inches to feet by dividing by 12 (since there are 12 inches in a foot), obtaining 0.6667 feet. The volume in cubic feet is then 5.5 feet * 6.5 feet * 0.6667 feet = 23.708375 cubic feet.

Next, we multiply the volume by the weight of water per cubic foot, which is 63 pounds per cubic foot. This gives us a total weight of 23.708375 cubic feet * 63 pounds/cubic foot = 1493.627375 pounds. Since we want the weight to the nearest pound, we round to 1494 pounds. However, none of the options provided in the question matches this result, which indicates there may be an error in the available options or the provided dimensions.

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Rewritten by : Barada