Section B: Practice Problems Expressions for Finding Volume
We find the volume of a right rectangular prism by multiplying the side lengths or by multiplying the area of a base by the corresponding height.
Each of these expressions represents the volume of this prism. The volume of this rectangular prism is 60 cubic units.
We can use different sized cubic units to measure the volume of different sized objects.
In this section, we used cubic inches, cubic feet, cubic yards, and cubic centimeters.
Problem 1 (Lesson 5)
Andre and Clare used different strategies to find the volume of this rectangular prism.
Andre says the volume of this rectangular prism is
cubic units. Explain or show why Andre is correct.
Clare says the volume of the rectangular prism is
cubic units. Explain or show why Clare is also correct.
Problem 2 (Lesson 6)
Which expressions represent the volume of this rectangular prism in cubic units?
Select all that apply.
Problem 3 (Lesson 7)
A box of milk measures 4 cm by 10 cm by 30 cm. What is its volume in cubic centimeters? Explain or show your reasoning.
Problem 4 (Exploration)
A sugar cube has a volume of about 1 cubic centimeter. About how large of a box would you need to hold 1,000,000 sugar cubes?
Problem 5 (Exploration)
Find some things around the school or house. What unit would you use to measure their volume? Choose one of your objects and estimate its volume.
Problem 6 (Exploration)
An object has volume 36 cubic inches. A box has side lengths 1 foot by 3 inches by 4 inches.
What is the smallest number of these objects that can fit in the box? Explain your reasoning.
What is the largest number of these objects that can fit in the box? Explain your reasoning.
Problem 7 (Exploration)
A container has a volume of 120 cubic inches.
What could the length, width, and height of the container be?
Can one of the side lengths be 9 inches? Explain or show your reasoning.