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Lesson Worksheet: Density of Solids Mathematics
In this worksheet, we will practice finding the density of a solid and solving word problems involving density.
Michael wants to work out the density of the soil in his garden. He fills a tub, with a capacity of 1.5 cubic feet, full of soil and tightly compacts it to remove as much air as he can. He weighs the soil and, after subtracting the mass of the tub, finds it has a mass of 124.5 pounds. What is the density of the soil?
Victoria has two rocks of identical mass: one is pumice and the other is lead. One, however, is considerably smaller in volume than the other. Each rock weighs 2 pounds. By displacing water, she finds that one rock has a volume of of 221.48 cubic inches and the other has a volume of 4.88 cubic inches.
Given that lead is denser than pumice, work out the density of pumice. Give your answer to five decimal places.
Work out the density of lead. Give your answer to five decimal places.
A sphere, with a radius of 10 inches, has a mass of 900 pounds. A cylinder, with a radius of 9 inches and a length of 16 inches, has a mass of 890 pounds. Which of the two shapes has the higher density?