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These are the Transum resources related to the statement: "Pupils should be taught to calculate surface areas and volumes of spheres, pyramids, cones and composite solids".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Surface Area Work out the surface areas of the given solid shapes.
- Volume Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.

Here are some exam-style questions on this statement:

- "
*The diagram shows a water tank in the shape of a cylinder. It has a diameter of 76cm anf a height of 36cm.*" ... more - "
*A builder needs to lift a steel block. It is a cuboid with dimensions 2 m by 0.2 m by 0.2 m. Steel has a density of 7.6 g/cm*" ... more^{3}. - "
*[The surface area of a sphere of radius \(r\) is \(4\pi r^2\) and the volume is \(\frac43\pi r^3\)]*" ... more - "
*A circular dart board has radius of 30 cm.*" ... more - "
*The diagram, not drawn to scale, shows the plan for a large, three dimensional sign which has been ordered to hang outside an ice cream shop.*" ... more - "
*Twenty four spherical shaped chocolates are arranged in a box in four rows and six columns.*" ... more - "
*The three sides of an equilateral triangle are tangents to a circle of radius \(r\) cm. The sides of the triangle are each 10cm long.*" ... more - "
*The diagram shows a rectangular-based pyramid, TABCD (not drawn to scale).*" ... more - "
*The volume of a cone can be calculated using the formula \(V=\frac13 \pi r^2 h \) and the area of the curved surface of a cone can be calculated using \(A= \pi r l\) (where \(r\) is the radius and \(l\) is the slant height).*" ... more - "
*The diagram shows a water tank in the shape of a trapezoidal prism.*" ... more - "
*A metal sphere has a radius 7.2 cm.*" ... more - "
*A solid metal cylinder has a base radius of 5cm and a height of 9cm.*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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