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Volume of rectangular prisms review

Review the basics of volume and try some practice problems.

What is volume?

Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.
For example, the rectangular prism below has a volume of 18 cubic units because it is made up of 18 unit cubes.
Want to learn more about the concept of volume? Check out this video.

Finding volume of a rectangular prism

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism= length×width×height
Want to learn more about finding volume of rectangular prisms? Check out this video.

Example 1:

Volume=length×width×height
Volume=3×2×3
Volume=18 cubic units

Example 2:

Volume=length×width×height
Volume=6×5×7
Volume=210 cubic units

Practice set 1: Finding volume by multiplying

Problem 1A
What is the volume of the rectangular prism?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
cm3

Want to try more problems like this? Check out this exercise: Volume 1

Practice set 2: Finding volume with unit cubes

Problem 2A
Unit cube:
What is the volume of the rectangular prism?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
unit cubes

Want to try more problems like this? Check out these exercises:
Volume with unit cubes 1
Volume formula intuition

Practice set 3: Challenge items

Problem 3A
The figure below is made up of 2 rectangular prisms.
What is the volume of this figure?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
cubic cm

Want to try more problems like this? Check out these exercises:
Decompose figures to find volume
Volume word problems

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