Unit 1, Lesson 4
Use Layers to Determine Volume
Grade 5
Warm-up
Estimate the number of cubes used to build this prism.
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
Activity 1
-
Complete the table.
prism number of cubes in one layer number of layers volume A B C D Prism A Prism B Prism C Prism D -
Find the volume of each prism. Explain or show your reasoning.
Prism E Prism F - How can you find the volume of any rectangular prism?
Activity 2
-
How does the expression represent the volume of this rectangular prism? Explain or show your reasoning.
-
How does the expression represent the volume of this rectangular prism? Explain or show your reasoning.
-
Find a different way to calculate the volume of this rectangular prism. Write an expression to represent the way that you calculated the volume. Explain or show your reasoning.
Student Section Summary
We learned the amount of space an object takes up is volume.
This prism has a volume of 120 unit cubes.
We learned to calculate the volume of any prism by finding the number of cubes in one layer and multiplying that number by the number of layers. We can describe this rectangular prism as having 6 layers of 20 cubes, 4 layers of 30 cubes, or 5 layers of 24 cubes. All of these expressions represent the volume of the prism:
or
or
or