Section 1
Measuring Volume with Unit Cubes
Property
Volume is the measure of the amount of space inside a solid, three-dimensional figure. We measure volume by counting the number of unit cubes that are used to build the figure or fill the space.
In this Grade 5 Illustrative Mathematics lesson (Chapter 1: Finding Volume), students are introduced to volume as the measurable attribute describing the amount of space a solid object takes up. Using connecting cubes, students build and compare three-dimensional objects to discover that different shapes can have the same volume. This lesson lays the conceptual groundwork for standard 5.MD.C.3 before students move on to measuring volume in cubic units and calculating the volume of rectangular prisms.
Section 1
Measuring Volume with Unit Cubes
Volume is the measure of the amount of space inside a solid, three-dimensional figure. We measure volume by counting the number of unit cubes that are used to build the figure or fill the space.
Section 2
Finding Volume by Counting Unit Cubes
The volume () of a solid is the total number of unit cubes it contains. To accurately count cubes in a 2D representation, count the cubes in each layer (or column) and add the totals. This method ensures all hidden cubes are included.
Section 3
Same Volume, Different Shapes
If two solid objects are composed of the same number of identical unit cubes, their volumes are equal, regardless of their shape. If object A has cubes and object B has cubes, then .
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Section 1
Measuring Volume with Unit Cubes
Volume is the measure of the amount of space inside a solid, three-dimensional figure. We measure volume by counting the number of unit cubes that are used to build the figure or fill the space.
Section 2
Finding Volume by Counting Unit Cubes
The volume () of a solid is the total number of unit cubes it contains. To accurately count cubes in a 2D representation, count the cubes in each layer (or column) and add the totals. This method ensures all hidden cubes are included.
Section 3
Same Volume, Different Shapes
If two solid objects are composed of the same number of identical unit cubes, their volumes are equal, regardless of their shape. If object A has cubes and object B has cubes, then .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter