One cubic foot holds 7.48 gallons of water, and 1 gallon ofwater weighs 8.33 pounds. How much does 6 cubic feet ofwater weigh in pounds? In tons?

Respuesta :

We know that

• 1 cubic foot holds 7.48 gallons of water.

,

• 1 gallon of water weighs 8.33 pounds.

The given information is about ratios that we must use to find the answer. Remember that a ratio is a quotient between two magnitudes, that means each statement above represents a fraction which must multiply "6 cubic feet" in order to get the answer. As follows

[tex]6ft^3\cdot\frac{7.48gallons}{1ft^3}\cdot\frac{8.33lb}{1gallon}=\frac{6\cdot7.48\cdot8.33}{1}lb=373\text{.}85lb[/tex]

Therefore, 6 cubic feet weighs 373.85 pounds.

On the other hand, 1 ton is equivalent to 2000 pounds. Knowing this, we calculate

[tex]373.85lb\cdot\frac{1ton}{2000lb}\approx0.19ton[/tex]

Therefore, 6 cubic feet weighs about 0.19 tons.