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

• Volume Video There are simple formulas that can be used to find the volumes of basic three-dimensional shapes.
• Volume Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.
• Surface Area Video Finding the surface are of three dimensional shapes can involve some interesting formulae.
• Surface Area Work out the surface areas of common solid shapes in this collection of exercises.

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
• "The cross-section of a prism is an equilateral triangle of side 9cm. The length of the prism is 12 cm." ... more
• "An ornamental lake is in the shape of a semicircle with a diameter of 900 metres." ... more
• "Babatunde has to paint four containers." ... more
• "The diagram show a solid cone painted two different colours." ... 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/cm³." ... more
• "A solid steel cylinder with a cylindrical hole running through its centre contains \(2800 \, \text{cm}^3\) of steel. The overall radius of the object is \(10 \, \text{cm}\), and the radius of the cylindrical hole is \(5 \, \text{cm}\)." ... more
• "[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
• "The illustration shows a greenhouse in the shape of a pentagonal prism. The front of the greenhouse is a pentagon with a single line of symmetry. The sides of the greenhouse are vertical." ... 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 photograph shows a horizontal container for water with a uniform cross-section." ... 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

See all these questions

Here are some Advanced Starters on this statement:

• Cuboid
  Find the dimensions of a cuboid matching the description given more
• Sphere Hole
  Find the volume of the remaining part of a sphere after a 10cm cylindrical hole has been drilled through it. more

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

• Mensuration Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D). It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.