Introduction to volume of rectangular prisms

In this lesson, we will learn:

• The relationship between 3-dimensional shapes, cubic measure, and the 3D geometric property of volume
• How to use the formula for volume of rectangular prisms: $V = l \times w \times h$

Notes:

• Volume is the 3-dimensional (3D) property of a geometric shape
• Volume represents the amount of space occupied by a 3D shape
• Volume is created by the combination of three dimensions (three different planes/directions of measurement)
• Cubic measure (cubic units) is used to measure volumes of 3D shapes
• Some examples of cubic units are: m³, cm³, mm³; ft³, in³, yd³

• For the geometric properties of shapes:

• A 2D shape has the 2D property of area and the 1D property of perimeter
• A 3D shape has the 3D property of volume and the 2D property of surface area

• The volume ($V$) for a rectangular prism combines the three dimensions of: length ($l$), width ($w$), and height ($h$) and can be found using the formula:
• $V = l \times w \times h$