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.

 

Image of a two bedroom house plan.

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.

   Submit

 

Image of a plan of a rectangular trench with a length of 8000 mm  and width of 5500 mm.

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?

Type in your answer and select submit for feedback.

   Submit

 

Image of a rectangular prism with a length of 39 m, width of 27 m and height of 9.5 m.

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?

Type in your answer and select submit for feedback.

   Submit

 

Photo rubbish in a cage on a building site.

Exercise 4

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

  1. 4 m³
  2. 3 m³
  3. 1 m³
  4. 6 m³

 

Image of a room plan with an angle on one corner.

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.

   Submit

 

Image of a block plan with garden bed on three sides..

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?

Type in your answer and select submit for feedback.

   Submit

 

Image of a triangular prism with a length of 13236 mm, altitude of of 3000 mm and width of 8750 mm.

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?

Type in your answer and select submit for feedback.

   Submit

 

Image of a cylinder with a diameter of 4900 mm and height of 3000 mm.

Exercise 8

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

Type in your answer and select submit for feedback.

   Submit

 

Image of a concrete slab plan made up of combined rectangles.

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.

   Submit

 

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.

Image of a two bedroom house plan.

Type in your answer and select submit for feedback.

Enter your answer to three decimal places.

   Submit

 

Summary

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

If you would like more practice see your teacher.

You can review this section or choose another from the left hand menu.