Question

The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number

Answer 1

Answer: 25 pounds per cubic foot

Explanation:

To express the density of the material in pounds per cubic foot, we need to convert the given units of grams and quarts to pounds and cubic feet, respectively.

First, let's convert the weight from grams to pounds. Since there are 454 grams in a pound, we can calculate the weight in pounds by dividing 6900 grams by 454:

6900 grams ÷ 454 = 15.2 pounds (rounded to the nearest tenth)

Next, let's convert the volume from quarts to cubic feet. Since there are 7.48 quarts in a cubic foot, we can calculate the volume in cubic feet by dividing 4.5 quarts by 7.48:

4.5 quarts ÷ 7.48 = 0.602 cubic feet (rounded to the nearest thousandth)

Finally, to find the density in pounds per cubic foot, we divide the weight in pounds by the volume in cubic feet:

15.2 pounds ÷ 0.602 cubic feet = 25.3 pounds per cubic foot (rounded to the nearest tenth)

Therefore, the density of the material is approximately 25 pounds per cubic foot.