# Practice – Volume calculations

## Introduction

Further practice will improve your skill in calculating the volume of various shapes. Try completing the following activities.

Remember to convert millimetres to metres before doing calculations.

## Exercise 1

How many cubic metres of concrete are required for the slab for the house shown on this plan? The slab is to be 150 millimetres thick.

Type in your answer and select submit for feedback.

## Exercise 2

A trench measuring 500 mm deep by 450mm wide needs to be excavated for the plan shown. By looking at the plan you should be able to work out the length of the trench.

What is the total volume in cubic metres of soil that needs to be excavated?

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## Exercise 3

How many cubic metres of soil would need to be excavated for a rectangular shaped underground car park that measures 27 metres by 39 metres and will be 9.5 metres deep?

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## Exercise 4

What size skip would be big enough for the rubbish shown in the image? Note that the cage is not full.

## Exercise 5

How many cubic metres of concrete are required for the slab for the building shown on this plan? The slab is to be 300 millimetres thick

Type in your answer and select submit for feedback.

## Exercise 6

You need to order soil for a raised garden bed on three sides of the block of land shown. The beds are 1.2 metres wide by 400 millimetres deep. What is the volume of soil required to the nearest cubic metre?

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## Exercise 7

An excavation is required to a sloping block of land as shown in the diagram. What is the volume to the nearest cubic metre of the soil to be removed?

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## Exercise 8

How many litres of water (to the **nearest litre**) could this tank hold?

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## Exercise 9

What is the volume of concrete needed for the slab shown in this diagram (in cubic metres)? The slab is to be 175 millimetres thick.

Type in your answer and select submit for feedback.

**Enter your answer to three decimal places.**

## Exercise 10

What is the volume of concrete needed for a slab to be laid around this storage tank (in cubic metres)? The slab is to be 300 millimetres thick.

Type in your answer and select submit for feedback.

**Enter your answer to three decimal places.**

## Summary

This is the end of the section about practice – volume calculations.

If you would like more practice see your teacher.

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