Volume
| Site: | Saylor Academy |
| Course: | GKT101: General Knowledge for Teachers – Math |
| Book: | Volume |
| Printed by: | Guest user |
| Date: | Friday, 18 April 2025, 6:14 PM |
Description
Volume measures how much space is taken up by a three-dimensional object. The volume is measured in cubic units of length, such as cubic feet or cubic centimeters. Watch this lecture series and complete the interactive exercises to practice finding the volume of rectangular prisms and objects composed of several rectangular prisms.
Volume intro
Source: Khan Academy, https://www.khanacademy.org/math/cc-fifth-grade-math/5th-volume
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Measuring volume with unit cubes
Practice
Volume with unit cubes - Questions
1. 
is 1 cubic unit.
What is the volume of the following figure?
All of the cubes are visible.
________ cubic units
2. is 1 cubic unit.
What is the volume of the following figure?
All of the cubes are visible.
________ cubic units
is 1 cubic unit.
What is the volume of the following figure?
All of the cubes are visible.
________ cubic units
is 1 cubic unit.________ cubic units
Volume with unit cubes - Answers
1. The figure has a volume of 9 cubic units.
2. The figure has a volume of 10 cubic units.
3. The figure has a volume of 11 cubic units.
4. The figure has a volume of 10 cubic units.
Volume of rectangular prisms with unit cubes - Questions
1. Unit cube:
What is the volume of the rectangular prism?
________ cubic units
2. Unit cube:
What is the volume of the rectangular prism?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
________ cubic units
3. Unit cube:
What is the volume of the rectangular prism?
________ cubic units
4. Unit cube:
What is the volume of the rectangular prism?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
________ cubic units
5. Unit cube:
What is the volume of the rectangular prism?
________ cubic units
6. Unit cube:
What is the volume of the rectangular prism?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
________ cubic units
7. Unit cube:
What is the volume of the rectangular prism?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
________ cubic units
Volume of rectangular prisms with unit cubes - Answers
1. The volume of the prism is 8 cubic units.
2. The volume of the prism is 24 cubic units.
3. The volume of the prism is 9 cubic units.
4. The volume of the prism is 20 cubic units.
5. The volume of the prism is 8 cubic units.
6. The volume of the prism is 12 cubic units.
7. The volume of the prism is 5 cubic units.
Compare volumes with unit cubes - Questions
1. These prisms are made from the same size unit cubes.
Which rectangular prism has greater volume?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
Choose 1 answer:
- The
prisms have equal volume. 
2. These prisms are made from the same size unit cubes.
Which rectangular prism has greater volume?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
Choose 1 answer:
- The prisms have equal volume.
3. These prisms are made from the same size unit cubes.
Which rectangular prism has greater volume?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
Choose 1 answer:
- The prisms have equal volume.
4. These prisms are made from the same size unit cubes.
Which rectangular prism has greater volume?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
Choose 1 answer:
- The prisms have equal volume.
Compare volumes with unit cubes - Answers
1. The 2 rectangular prisms have equal volume.
2. The second rectangular prism has greater volume.
3. The 2 rectangular prisms have equal volume.
4. The first rectangular prism has greater volume.
