Question

The density of a certain material is such that it weighs 70 pounds for every 8.5 gallons of volume. Express this density in kilograms per liter. Round your answer to the nearest hundredth.

Answer 1

The correct answer is 0.99kg/L

Explanation:

To find the density, the first step is to convert the weight (mass) and the volume into the appropriate units.

The volume is 8.5 gallons and this needs to be converted to litters. In this case, multiply the volume in gallons by 3.785 because each gallon contains 3.785 liters.

8.5 x 3.785 = 32.1725 liters

The mass is 70 pounds and this needs to be converted to kilos. In this case, divide the pounds by 2.204 considering each kilo contains 2.204 pounds.

70 ÷ 2.2046 = 31.751 kilos

Now, find the density by dividing the mass into the volume.

Density= 31.751 kg ÷ 32.1725 L

Density = 0.98 kg/L

This means the density is 0.9.868 kg/L and this can be rounded as 0.99 kg/L