Question
Problem Solving
19. A gallon of water weighs 8.3 pounds. A cubic
foot of water weighs about 62 pounds. To
the nearest tenth, about how many gallons of
water would fill a cubic foot?
19. A gallon of water weighs 8.3 pounds. A cubic
foot of water weighs about 62 pounds. To
the nearest tenth, about how many gallons of
water would fill a cubic foot?
Ask by Henry Ward. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
About 7.5 gallons of water fill a cubic foot.
Solution
Let the number of gallons in one cubic foot be
To solve for
Performing the division:
Thus, to the nearest tenth, about
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To figure out how many gallons of water would fill a cubic foot, you can use the weights of water given. Since a cubic foot of water weighs about 62 pounds and a gallon weighs 8.3 pounds, you would divide the total weight of a cubic foot by the weight of a gallon:
62 pounds / 8.3 pounds per gallon ≈ 7.5 gallons.
So, you can fit approximately 7.5 gallons of water in a cubic foot!
A common mistake when tackling this kind of problem is forgetting to ensure that the units are consistent. Always double-check that you’re comparing the same measurements (like pounds or liters); otherwise, your outcome could be off. Keep your units aligned, and you’ll sail through these calculations!
