The density of a certain material is such that it weighs 1 pound for every 3.5 cups of volume. Express this density in tons per cubic foot. Round your answer to the nearest hundredth.

Mathematics · College · Tue Nov 03 2020

Answered on

Given:

Density of a certain material = 1 pound per  3.5 cups

Express the density in tons per cubic foot.

1 pound  = 0.0005 tons

1 cup = 0.00835503 cubic foot

Solution:

Equate the given values and conversion measurement in the general formula for conversion.

=( 1 lb / 3.5 cups) (0.0005 ton/ 1 lb) (1 cup/0.00835503 cubic foot)

= 0.0005 ton/ 0.0292426 cubit foot

= 0.0171 ton/cubic foot

Final answer:

0.0171 ton per cubic foot