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](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-3-x-1/v1/math5-16-3-x-1-502w.jpg)
- 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](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-3-x-2/v1/math5-16-3-x-2-635w.jpg)
- 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](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-3-x-3/v1/math5-16-3-x-3-573w.jpg)
- 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](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-3-x-4/v1/math5-16-3-x-4-894w.jpg
)