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Cubic measure

Topic Notes

In this lesson, we will learn:

  • That cubic measure refers to the cubed units that are used to measure volume
  • How to count the cubic measure of volumes for a single layer of unit cubes
  • How to count the cubic measure of volumes for multiple layers of unit cubes

Notes:

  • Cubic measure refers to the units we use to measure volume
    • A unit cube is a cube with a measure of 1 unit on each side
    • Units can be in metric units (i.e. m3, cm3, mm3) or other customary units (i.e. ft3, in3, yd3)

2D Shapes: Area and Perimeter of Rectangles

  • Recall that different dimensions (1-dimensional, 2-dimensional, 3-dimensional) correspond to geometric properties of shapes (perimeter, area, volume) as well as their units:

2D Shapes: Area and Perimeter of Rectangles
    • For the 3D property of shapes ( volume ), we use cubes to measure the amount of space occupied by a 3D shape

  • The cubic measure of volume can be thought of as the number of unit cubes that can fit in a 3D shape
    • If there is only one layer of unit cubes, simply count the number to find the cubic measure.

2D Shapes: Area and Perimeter of Rectangles

    • If there are multiple layers of unit cubes: count the number in one layer and multiply by the number of layers there are in the same direction.

2D Shapes: Area and Perimeter of Rectangles