# Volume of rectangular prisms - Measurement and Geometry

- Author:
- James Brown, David Wees, Erin

## K-10 Mathematics Stage 3 - Measurement and Geometry: Volume and Capacity

**Volume of rectangular prism = number of cubes in one layer × number of layers**Hello and good morning everyone! We will be working towards this learning objective by using CPA Framework into the following activities. Warm up - whole class discussion - Concrete : Stack blocks, designs, using assorted size + shape containers and grid paper. - Pictorial / Representative : Geogebra activity and video. - Abstract : Geogebra activity and share with fellow students via closed group settings.

## Warm up

## YouTube: Volume Song

Name the different objects used as examples of measurement in the video?

How many dimensions does a cubic unit have?

What are the dimensions called?

## Stage 1: Concrete - Hands on activity

How many blocks did it take to fill each of the plastic containers? How many layers did each container have?

## Using the image above

How many blocks were used to build the front layer?

How many layers in the prism?

How many blocks were used to build the whole prism?

How many rectangular or square prisms can you make using 18 cubes? Use the graph paper to show your answers

## Stage 2: Pictorial - Visual

## Decomposing rectangular prisms

## GeoGebra activity

If C represents the length of the prism and A represents the height, what does B represent?

Can you make a square prism from 18 centimetre cubes? If so, how many layers will you have?

Can you make a cube using 18 centimetre cubes? If so, how many layers will you have?