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 lesson from Pengi Math Chapter 8, students learn to find the volume of solid figures by counting unit cubes, including hidden cubes in drawings, and by using the formula length × width × number of layers. Students also compare solids built from the same number of unit cubes to understand why different shapes can have equal volume. The lesson directly addresses the common misconception that taller or wider shapes always have greater volume.
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
Identifying Layers in Prism Drawings
To find the number of cubes in one layer from a 2D drawing, multiply the number of cubes along its length and width. The total number of layers is the height of the prism.
Section 3
Calculating Volume by Layers
The volume of a rectangular prism can be found by multiplying the number of unit cubes in a single layer by the total number of layers.
Section 4
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
Identifying Layers in Prism Drawings
To find the number of cubes in one layer from a 2D drawing, multiply the number of cubes along its length and width. The total number of layers is the height of the prism.
Section 3
Calculating Volume by Layers
The volume of a rectangular prism can be found by multiplying the number of unit cubes in a single layer by the total number of layers.
Section 4
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