An engaging rap song for teaching the formulas of 3D shapes to students. Includes fun worksheets and multiple versions of the song to assist with scaffolding.
This song teaches the volume formulas for geometric figures. It recites the specific formulas for the volume of a cube, cone, cylinder, sphere, and rectangular prism with rhymes that are easy to remember. The teaching materials, including worksheets, activities and games, are additional resources to help teachers and homeschool parents create lesson plans for the song topic. Students will have a greater understanding of how to calculate the volume of geometric figures.
This math song is suitable to help teach the formulas for volume to elementary school students (4th grade, 5th grade and 6th grade), middle school, high school, home school, and college classes.
Pump up the volume, pump up the classroom
Everybody’s sucking up skills like a vacuum
How big is the sun? How big is the moon?
Come on everybody let me hear you pump up the volume
We’ve got three dimensions that we’re dealing with
Everybody feeling this? ‘Cause you know it’s not a myth
That we’re leaving flat shapes behind
Now we’ve got cubes and cones and cylinders on our mind full time
When you’re measuring a cube you can’t measure it wrong
‘Cause every single little side of it is equally long
So to calculate the volume it’s pretty simple, you see?
Take any side of it and raise it to the power of three
A rectangular prism is just a little bit harder
We’re gonna stretch your knowledge of it just a little bit farther
First you wanna check the angles are right (90º)
And then you multiply the length times the width times the height
Next is the cylinder, but don’t be scared
It’s just the height times π times the radius squared
For the Volume of a cone, division is key
You take the height times πr² but then divide it by 3
Last but not least we’ll examine a sphere
Like the sun or the moon or the bubbles in your root beer
After our research, we must conclude
That it’s 4∕3 × πr³
History of Pi
This page tells the history of Pi, what it is, and a description of how it is used. There is a lot of interesting information and a cool experiment called Buffoon’s Needle that students will enjoy. A great site with lots of additional information on math topics.
This page provides illustrations and the formulas to find the volumes of several different shapes. Good explanations of similarities and differences.
Math Open Reference
Volume of a Cube
This site explains how to find the volume of a cube. Requires a plug in for the visual reference, but has a very good written explanation that would be useful.
Volume of a Cylinder
This site explains how to find the volume of a cylinder. Requires a plug in for the visual reference, but has a very good written explanation that would be useful.
Math is Fun
This site is a gem for simple clear explanations of cubes, rectangular prisms and cuboids. Excellent illustrations as well.
Volumes and Areas
This worksheet has formulas for finding the volume, area and surface area of various shapes. Simple, easy to understand and hard copies can be made and distributed to students easily.
Surface area of Sphere
This activity has students compare the area of a sphere with a rectangle by using wrapping paper to illustrate the difference. Good visual. Fairly easy.
Area and Volume
This activity has students making squares and cubes of various sizes to illustrate important differences. A good classroom activity. Not too difficult
In this hands-on lesson, students “discover” the concept of volume. They will learn the concept by using math manipulatives to measure volume. Useful if you have manipulatives already in place that are 1-inch cubes, rectangles, etc.