Use formulae to solve problems involving the volumes of cuboids, prisms and other common solids.
This is level 1; a basic exercise to find the number of cubes required to make the cuboid shown in the diagram. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
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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Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :
"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:
"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
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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.
See the National Curriculum page for links to related online activities and resources.
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.
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