How to apply the mathematical problem solving process to solve problems involving the volume of a prism is explained.
After completing this tutorial, you will be able to complete the following:
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.
|Approximate Time||30 Minutes|
|Pre-requisite Concepts||Students know the properties of rectangular prisms and cubes, and the volume of rectangular prisms and cubes.|
|Type of Tutorial||Problem Solving & Reasoning|
|Key Vocabulary||problem solving, volumes of prisms, volume|