Lesson 16
Distinguishing Between Surface Area and Volume
Problem 1
Match each quantity with an appropriate unit of measurement.
Solution
For access, consult one of our IM Certified Partners.
Problem 2
Here is a figure built from snap cubes.

- Find the volume of the figure in cubic units.
- Find the surface area of the figure in square units.
- True or false: If we double the number of cubes being stacked, both the volume and surface area will double. Explain or show how you know.
Solution
For access, consult one of our IM Certified Partners.
Problem 3
Lin said, “Two figures with the same volume also have the same surface area.”
- Which two figures suggest that her statement is true?
- Which two figures could show that her statement is not true?

Solution
For access, consult one of our IM Certified Partners.
Problem 4
Draw a pentagon (five-sided polygon) that has an area of 32 square units. Label all relevant sides or segments with their measurements, and show that the area is 32 square units.
Solution
For access, consult one of our IM Certified Partners.
(From Unit 1, Lesson 11.)Problem 5
-
Draw a net for this rectangular prism.
- Find the surface area of the rectangular prism.
Solution
For access, consult one of our IM Certified Partners.
(From Unit 1, Lesson 15.)