Eureka Math² Grade 5, Module 5: Volumes of Solid Figures
In this unit, your child studies volume. They fill rectangular boxes with unit cubes, count layers, and move from counting to the formulas length × width × height and base × height. They find the volume of a figure built from two boxes by adding the parts. It follows multiplying fractions and leads into the final unit on coordinate geometry and real-world problems.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Module 5?
- Recognizing that a cube with 1-unit sides has a volume of 1 cubic unit, so 20 of them packed together make 20 cubic units. Learn more: Volume: how much space is inside a solid
- Counting the cubes in one layer, then multiplying by the number of layers, to find volume in cubic units. Learn more: Finding volume by counting cubes
- Moving from counting to formulas, V = l × w × h and V = b × h, and adding the volumes of two joined prisms. Learn more: Finding the volume of a box
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Hana stacks 12 unit cubes into a tall tower. Then she takes it apart and uses all 12 cubes to build a long, low wall. How does the volume of the wall compare with the volume of the tower?
- They have the same volume
- The tower has more volume
- The wall has more volume
How you can help
- Fill the bottom of a small box with one layer of blocks or dice, then ask your child how many layers would fill it. Multiply to predict the total, then check.
- Compare two cereal boxes at home. Measure each in inches, multiply length × width × height, and ask your child which holds more and by how many cubic inches.
- Look at a bookshelf or two stacked storage bins as one solid. Ask your child to split it into two boxes, find each volume, and add them.
Where kids can get stuck
- Counting each outside face separately and adding, so corner and edge cubes get counted two or three times.
- Adding the three dimensions instead of multiplying, so a 5 by 2 by 3 box gets 10 instead of 30.
- Using the whole shape's length for one part when splitting an L-shaped solid into two boxes.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- volume
- The amount of space inside a solid, measured in cubic units.
- unit cube
- A small cube that counts as 1 cubic unit.
- cubic unit
- The unit for volume, like a cubic inch or a cubic centimeter.
- layer
- A single row-by-row level of unit cubes in a solid.
- rectangular prism
- A solid shaped like a box, such as a cereal box or a brick.
- base
- The bottom face of a solid, whose area times the height gives volume.
- formula
- A rule written with letters, like V = l × w × h for volume.
Want to help your child master finding volume?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
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Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does Eureka Math² Grade 5 Module 5 cover?
Eureka Math² Grade 5 Module 5 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.