Back to Apply density in area and volume — Problem 3 · Task Set 42

Exercises: Apply Concepts of Density Based on Area and Volume

Show your work for each problem. Every density answer must include its units. When a
problem asks you to type a number, read the stem carefully for the unit and the rounding
it expects.

Grade 10·24 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-mg-a-2

Work through problems with immediate feedback

Fluency Practice

Aluminum has a density of $2.7 \text{ g/cm}^3$ . A solid aluminum piece has a volume of $350 \text{ cm}^3$ . What is its mass?

$945$ g, because mass is density multiplied by volume, and $\text{g/cm}^3 \times \text{cm}^3$ leaves grams.

$352.7$ g, because the density and the volume are two amounts of the same material and can be added together.

$347.3$ g, because the density has to be removed from the volume to leave only the mass behind.

$129.6$ g, because density is mass over volume, so the volume is divided by the density to recover the mass.