# Cubic measure

### Cubic measure

#### Lessons

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) • Recall that different dimensions (1-dimensional, 2-dimensional, 3-dimensional) correspond to geometric properties of shapes (perimeter, area, volume) as well as their units: • 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. • 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. • Introduction
Introduction to Cubic Measure:
a)
What is cubic measure?

b)
How to count the cubic measure of volumes for rectangular prisms

• 1.
Counting Cubic Units of Rectangular Prisms
Count to find the cubic measure of each 3D shape. The unit is specified next to the shape.
a) edges are in centimeters (cm)

b) edges are in millimeters (mm)

c) edges are in kilometers (km)

d) edges are in yards (yd)

• 2.
Counting Shortcuts for Cubic Units of Rectangular Prisms
Find the cubic measure of each rectangular prism.
a) edges are in meters (m)

b) edges are in inches (in)

c) edges are in feet (ft).

d) edges are in centimeters (cm)

• 3.
Given the front view of the rectangular prism and the total cubic measure (volume), complete a 3D drawing.
a)
Front View: Volume = 14 in3

b)
Front View: Volume = 30 yd3

c)
Front View: Volume = 24 ft3

• 4.
Same Cubic Measures in Different Configurations
You will be tasked with building a regular rectangular prism with cubic centimeter blocks.
a)
If the total cubic measurement must be 8cm3, draw three different rectangular prisms with this volume.

b)
If the total cubic measurement must be 12cm3 , draw four different rectangular prisms with this volume.

c)
If the total cubic measurement must be 18cm3 , draw five different rectangular prisms with this volume.