Question

the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds pounds per cubic foot

Answer 1

`d=101.4\ \text{pounds}/\text{feet}^3`

Explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

`d=\frac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3`

Hence, the density of the material is
`101.4\ \text{pounds}/\text{feet}^3`