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Geometry

How to apply the mathematical problem solving process to solve problems involving the volume of a prism is explained.

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After completing this tutorial, you will be able to complete the following:

- Solve problems involving the volume of rectangular prisms.
- Calculate the volume of rectangular prisms.

The volume of a three-dimensional figure is a measure of the space it occupies. Volume is measured in cubic units. A rectangular prism is a three-dimensional figure that has rectangular bases.

Volume of a prism V is the product of the area of its base B (l x w) and the height. The formula for the volume of a rectangular prism is

V = B x h or V = l x w x h

In this Activity Object, students will use V = l x w x h. Provide students with a several example problems using whole numbers less than ten for each of the dimensions to ensure that students can solve volume of rectangular prism problems.

A cube is used in this Activity Object. A cube is a rectangular prism in the same way that a square is a rectangle. Be sure students realize that a cube is also a rectangular prism whose dimensions are the same length. Therefore, its volume is found by multiplying the length of any dimension by itself twice.

- base (b) - any side or flat surface of the object
- cube - a rectangular prism whose length, width, and height are the same number of units
- dimension - a measure of length, width or height
- height (h) - the perpendicular distance to the base
- length (l)- the distance along a line or shape from one point to another
- prism - a figure made of two parallel faces that are polygons of the same shape and sides that are parallelograms
- rectangular prism - a prism whose base is a rectangle
- volume - the measure of the amount of space inside of a solid figure
- width (w)- the horizontal measurement to the length

Approximate Time | 30 Minutes |

Pre-requisite Concepts | Students know the properties of rectangular prisms and cubes, and the volume of rectangular prisms and cubes. |

Course | Geometry |

Type of Tutorial | Problem Solving & Reasoning |

Key Vocabulary | problem solving, volumes of prisms, volume |