Back to Apply density in area and volume — Problem 2 · 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

A block of metal has a mass of $891$ grams and a volume of $330$ cubic centimeters. What is its density?

$2.7$ , since dividing $891$ by $330$ gives $2.7$ and that number is the density.

$2.7 \text{ cm}^3\text{/g}$ , since density compares the volume the metal occupies to each gram of its mass.

$294{,}030 \text{ g} \cdot \text{cm}^3$ , since the mass and the volume both describe the block and are combined to describe it.

$2.7 \text{ g/cm}^3$ , since density is mass divided by volume and the units divide the same way.