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.
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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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