Introduction to volume of rectangular prisms
Topic Notes
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:
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
![2D Shapes: Area and Perimeter of Rectangles](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-4-x-1/v1/math5-16-4-x-1-628w.jpg)
- For the geometric properties of shapes:
![2D Shapes: Area and Perimeter of Rectangles](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-4-x-2/v1/math5-16-4-x-2-994w.jpg)
- 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 () for a rectangular prism combines the three dimensions of: length (), width (), and height () and can be found using the formula:
![2D Shapes: Area and Perimeter of Rectangles](
https://dmn92m25mtw4z.cloudfront.net/img_set/math5-16-4-x-3/v1/math5-16-4-x-3-340w.jpg
)