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Volume

Use formulae to solve problems involving the volumes of cuboids, prisms and other common solids.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Exam-Style Description Help More...

This is level 2; use the width times height times length formula to find the volume of cuboids. You can earn a trophy if you get at least 7 questions correct and you do this activity online.

1. Find the volume of the cuboid below if its width is 5cm, length is 8cm and height is 2cm.

Shape1
cm3 Correct Wrong

2. Find the volume of the cuboid below.

Shape2
cm3 Correct Wrong

3. Find the volume of the cuboid below.

Shape3
cm3 Correct Wrong

4. Each of the edges of the cube below are 5cm long. Find the volume of the cube.

Shape4
cm3 Correct Wrong

5. Find the volume of the cuboid below.

Shape5
cm3 Correct Wrong

6. Find the volume of the cuboid below.

Shape6
cm3 Correct Wrong

7. Find the volume of the cuboid below.

Shape7
mm3 Correct Wrong

8. Find the volume of the cuboid below.

Shape8
m3 Correct Wrong

9. Find the height of the cuboid below. Its volume is 80cm3

Shape9
cm Correct Wrong

10. These two cuboids have the same volume. Find the height of the red cuboid.

Shape10
cm Correct Wrong
Check

This is Volume level 2. You can also try:
Level 1 Level 3 Level 4 Level 5 Level 6

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Answers

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Thursday, January 31, 2019

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© Transum Mathematics :: This activity can be found online at:
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Description of Levels

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Level 1 - A basic exercise to find the number of cubes required to make the cuboid shown in the diagram

Level 2 - Use the width times height times length formula to find the volume of cuboids

Level 3 - Find the volumes of a wide range of prisms (including cylinders)

Level 4 - Find the volumes of pyramids, cones, spheres and other common solid shapes

Level 5 - Find the volumes of composite solid objects

Level 6 - Find the volumes of solid objects where the units of the dimensions may differ

Surface Area - Exercises on finding the surface area of solids

Cylinders - Apply formulae for the volumes and surface areas of cylinders

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Volume Formulas

Cube: \(s^3\) where \(s\) is the length of one edge.

Cuboid: \(l\times w\times h\) where \(l\) is the length, \(w\) is the width and \(h\) is the height of the cuboid.

Cylinder: \(h \times \pi r^2\) where \(h\) is the height (or length) of the cylinder and \(r\) is the radius of the circular end.

Cone: \(h \times \frac13 \pi r^2\) where \(h\) is the height of the cone and \(r\) is the radius of the circular base.

Square based pyramid: \(h \times \frac13 s^2\) where \(h\) is the height of the pyramid and s is the length of a side of the square base.

Sphere: \(\frac43 \pi r^3\) where \(r\) is the radius of the sphere.

Prism: Area of the cross section multiplied by the length of the prism.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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