 # Rectangular prisms

## Introduction

To find out how much concrete is needed to pour the footpath in this photo you need to know how to calculate the volume of a rectangular prisim. Do you know how to calculate the volume of rectangular prisms? ## Calculating volume

The formula for calculating volume is:
Volume = Area by height
V = A X h

The formula for calculating area of a rectangle is:
Area = length by width
A = l X w

So the volume of a rectangular prism can be calculated using the formula:
Volume = length by width by height
V = l X w X h

For the rectangular prism in the diagram:
V = 2 m X 1 m X 1 m
V = 2 m³ (cubic metres) ## Exercise 1

Calculate the volume of this rectangular prism.

Select this link for a hint.

Submit ## Exercise 2

Calculate the volume of this rectangular prism.

Submit ## Exercise 3

Calculate the volume of this rectangular prism.

Submit ## Exercise 4

Calculate the volume of this rectangular prism.

Submit ## Exercise 5

Calculate the volume of this rectangular prism (measurements in millimetres).

Before doing calculations convert millimetres to metres.

Length = 3.5 m
Width = 2.4 m
Height = 2.7 m

Submit ## Exercise 6

Calculate the volume of this rectangular prism (measurements in millimetres).

Submit

## Shapes made of combined rectangular/square prisms To calculate the volume of this shape you can break it into two rectangular prisms (RP1 and RP2).

Select this link to see RP1 and RP2.

Method to use:

Volume total = Volume RP1 plus Volume RP2
Vt = V RP1 + V RP2
Vt = (l X w X h) + (l X w X h)
Vt = (2 X 1 X 1) + (1 X 1 X 1)
Vt = 3 + 1
Vt = 3 m³. ## Exercise 7

Calculate the volume of this object.

Select this link for a hint.

Submit ## Exercise 8

Calculate the volume of this object.

Select this link for a hint.

Submit ## Exercise 9

Calculate the volume of this object.

Select this link for a hint.

Submit

## Summary

This is the end of the section on Rectangular prisms.

Key points to remember are:

• the formula for volume is:
Volume = Area by height
• volume of a rectangular prism is calculated using the formula:
Volume = length by width by height
• break combined rectangular/square prisms into individual prisms
• calculate the volume of each prism, then add the volumes together.

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