1. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cuboid Volume is the amount of space inside 3-D shapes A cube of 1 cm edge has a volume of 1 cm 3 length = 7cm length = 4cm height = 5cm This cuboid is made of 5 layers Each layer consists of 4 x 7 = 28 cubes In total, its volume is 28 cubes x 5 layers Volume of a cube = length x width x height Volume = 7 x 4 x 5 = 140 cm 3

2. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cuboid 8 cm 4 cm 5 cm 2 cm This object is made up of two cuboids. To find the total volume, add up their individual volumes. 2 cm 4 cm 5 cm 3 cm 2 cm 4 cm 2 cm V = 4 x 2 x 5 V = 4 x 2 x 3 40 cm 3 24 cm 3 Volume =+ Volume = 64 cm 3

3. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Surface area of a cuboid A cuboid is made of 6 sides. The total surface area of the cuboid is the sum of areas of all its 6 sides. 6 cm 7 cm 4 cm

4. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Surface area of a cuboid A cuboid is made of 6 sides. The total surface area of the cuboid is the sum of areas of all its 6 sides. 6 cm 7 cm 4 cm Total surface area 42 + 42 + 28 + 24 = = 188 cm 3

5. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cylinder Cross-section: A plane made by cutting across a solid. The cross-section of a cylinder is a circle with radius r

6. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Prism is a 3-D figure with two congruent, parallel Basses that are polygons. A pentagonal prism (the bases are pentagons) A triangular prism (the bases are triangles) A hexagonal prism (the bases are hexagons) Volume of a cylinder

7. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a prism The volume V of a prism is found by multiplying the area A of its cross-section By its length l V = A l Area A Length l

8. Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cylinder The volume V of a cylinder is found by multiplying the area A of its cross-section By its length l V = r 2 l Area A Length l r Cross-section area = r 2