Question

The density of a certain material is such that it weighs 71 pounds for every 2.5 gallons of volume. Express this density in tons per cubic meter. Round your answer to the nearest hundredth.

Answer 1

`d=3.75\ \text{tons per cubic meter}`

Explanation:

Given that,

Mass of a certain material, m = 71 pounds

Since, 1 ton = 2000 pounds

71 pounds = 0.0355 ton

Volume of the material, V = 2.5 gallons

Since, 1 m³ = 264.172 gallon

2.5 gallon = (2.5/264.172 ) m³

Density,

`d=(m)/(V)\\\\d=\frac{0.0355\ \text{tons}}{(2.5)/(264.172)\ m^3}\\\\d=3.75\ \text{tons per cubic meter}`