Questions: One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 9.3 cubic feet of water weigh in pounds? In tons?
The weight in pounds is approximately □ bo. (Round to the nearest tenth as needed.) The weight in tons is approximately □ ton(s). (Round to the nearest hundredth as needed.)
Transcript text: One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 9.3 cubic feet of water weigh in pounds? In tons?
The weight in pounds is approximately $\square$ bo.
(Round to the nearest tenth as needed.)
The weight in tons is approximately $\square$ ton(s).
(Round to the nearest hundredth as needed.)
Solution
Solution Steps
Step 1: Calculate the volume in gallons
To find the volume in gallons, multiply the volume in cubic feet by the gallons per cubic foot.
\[V_{\text{gal}} = 9.3 \times 7.48\]
\[V_{\text{gal}} = 69.564\]
Step 2: Calculate the weight in pounds
To find the weight in pounds, multiply the volume in gallons by the pounds per gallon.
\[W_{\text{lb}} = 69.564 \times 8.33\]
\[W_{\text{lb}} = 579.5\]
Step 3: Convert the weight to tons
To convert the weight to tons, divide the weight in pounds by the conversion factor.
\[W_{\text{tons}} = \frac{579.5}{2000}\]
\[W_{\text{tons}} = 0.29\]