You currently have JavaScript disabled on this browser/device. JavaScript must be enabled in order for this website to function properly.

ZingPath: Volume

Problem Solving Involving Volumes of Prisms

Searching for


Learn in a way your textbook can't show you.
Explore the full path to learning Volume

Lesson Focus

Problem Solving Involving Volumes of Prisms


Learning Made Easy

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

Over 1,200 Lessons: Get a Free Trial | Enroll Today

Now You Know

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.

Everything You'll Have Covered

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

Tutorial Details

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