GCSE Maths Volume, Surface Area and 3D Shapes: lesson and practice questions

By the end of this chapter you will be able to

• Name 3D solids and count their faces, edges and vertices
• Recognise and draw nets of cuboids, prisms, pyramids and cylinders
• Draw and use plans and front and side elevations
• Work out the volume of cuboids, prisms and cylinders, and use units of volume and capacity
• Use density = mass ÷ volume
• Work out the surface area of cuboids, prisms and cylinders

You should already know

• Area of rectangles, triangles, trapezia and circles (Chapter 18)
• Metric units of length and capacity
• Powers and square roots (Chapters 1 and 2)

Where this leads

• Pythagoras and trigonometry in 3D (Chapter 20)
• Similar shapes and scale factors for area and volume (Chapter 21)
• Density, pressure and compound measures (Chapter 16)