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

Warm-Up: Review What You Know

These problems review area, volume, and rate skills you already have.

A car travels $480$ miles using $12$ gallons of fuel. Which statement correctly describes the rate and its units?

$480$ miles per gallon, because $480$ is the total distance the car covered on that tank of fuel, and that total is what the trip is measured by.

$40$ miles per gallon, because dividing $480$ miles by $12$ gallons gives the distance covered per single gallon.

$5{,}760$ miles per gallon, because multiplying $480$ miles by $12$ gallons combines the two given amounts.

$0.025$ gallons per mile is the only correct rate, because fuel must always be the numerator of a fuel rate.