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Net and Surface Area

S4. Net and Surface Area . Faces Edges and Vertices. The Cube. The Cuboid. www.mathsrevision.com. The Triangular Prism . S4. Starter Questions. www.mathsrevision.com. S4. Faces Edges and Vertices. Learning Intention. Success Criteria. To know the terms Face Edge and Vertex.

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Net and Surface Area

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  1. S4 Net and Surface Area Faces Edges and Vertices The Cube The Cuboid www.mathsrevision.com The Triangular Prism Compiled by Mr. Lafferty Maths Dept.

  2. S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. S4 Faces Edges and Vertices Learning Intention Success Criteria • To know the terms Face Edge and Vertex. • To understand the meaning of Face Edge and Vertex in relation to a various shapes an be able to identify them. 2. Calculate the number of Faces Edges and Vertices for various shapes. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  4. Don’t forget the faces edges and corners we can’t see at the back Face Edges and Vertices S4 The shape below is called a cuboid. It is made up of FACES, EDGES and VERTICES. Edges are where the two faces meet (lines) www.mathsrevision.com Vertices where lines meet (corners) Faces are the sides of a shape (surface area) Compiled by Mr. Lafferty Maths Dept.

  5. Calculate the number of faces edges and vertices for a cuboid. Face Edges and Vertices S4 6 faces www.mathsrevision.com 12 edges Front and back are the same 8 vertices Top and bottom are the same Right and left are the same Compiled by Mr. Lafferty Maths Dept.

  6. Calculate the number of faces edges and vertices for a cube. Face Edges and Vertices S4 6 faces www.mathsrevision.com 12 edges Faces are squares 8 vertices Compiled by Mr. Lafferty Maths Dept.

  7. Name and then calculate the number of faces, edges and vertices for these shapes Face Edges and Vertices 5 faces 9 edges S4 6 Vertices 2 faces 1 edges 1 Vertices Cone Triangular Prism www.mathsrevision.com Cylinder Sphere 3 faces 2 edges 1 faces 0 Vertices 0 edges Compiled by Mr. Lafferty Maths Dept. 0 Vertices

  8. Net and Surface Area The Cube S4 Now Try Ex 2.1 Ch11 Q9 (page 168) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  9. S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  10. S4 Net and Surface Area The Cube Learning Intention Success Criteria • To know what net means. • To understand the • term net for the cube and work out its surface area. • Decide if a diagram makes a net for a cube. www.mathsrevision.com • Work out the surface area of a cube using previous knowledge of area. Compiled by Mr. Lafferty Maths Dept.

  11. Top left Side Back Front Bottom Right Side Net and Surface Area The Cube S4 The net of a solid shape is the shape you would get if it was made of cardboard and you “opened it up and laid it out flat”. www.mathsrevision.com 6 faces This is a NET for the cube All congruent All squares Compiled by Mr. Lafferty Maths Dept.

  12. Net and Surface Area The Cube S4 Now try Ex 4.1 Ch11 (page 170) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  13. Net and Surface Area The Cube S4 Question : Find the surface area of the cube below. What do we know? • Made up of 6 faces • All the same (congruent) Total 6 x 25 = 150cm2 • All squares www.mathsrevision.com 5cm Compiled by Mr. Lafferty Maths Dept.

  14. S4 9cm Starter Questions 2 cm 7 cm 6cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  15. S4 Net and Surface Area The Cuboid Learning Intention Success Criteria • Draw a net of a cuboid. • To draw the net of a cuboid and work out its surface area. 2. Work out the surface area of a cuboid using previous knowledge of the area of a rectangle. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  16. Front 3cm Back RS LS 4cm 3cm Top 4cm Bottom 5cm Net and Surface Area The Cuboid S4 4cm 3cm www.mathsrevision.com 5cm 6 faces Top and bottom congruent Front and back congruent This is a NET for the cuboid Left and right congruent Compiled by Mr. Lafferty Maths Dept.

  17. Example Find the surface area of the cuboid Working S4 Front Area = l x b = 5 x 4 =20cm2 Top Area = l x b = 5 x 3 =15cm2 4cm Side Area = l x b = 3 x 4 =12cm2 3cm www.mathsrevision.com Total Area = 20+20+15+15+12+12 = 94cm2 5cm Front and back are the same Top and bottom are the same Right and left are the same Compiled by Mr. Lafferty Maths Dept.

  18. Net and Surface Area The Cuboid S4 Now try Ex 5.1 Ch11 (page 172) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  19. 6cm 8cm S4 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  20. S4 Net and Surface Area Triangular Prism Learning Intention Success Criteria • Draw a net of a triangular prism. • To draw the net of a triangular prism. 2. Work out the surface area of a right angled triangular prism using the area formulae for a rectangle and triangle. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  21. Front Back Bottom 4cm 4cm FT BT 10cm 4cm 4cm 10cm Net and Surface Area Triangular Prism S4 www.mathsrevision.com 5 faces 3 congruent rectangles 2 congruent triangles This is a NET for the triangular prism. Compiled by Mr. Lafferty Maths Dept.

  22. Triangle Area = 4cm Example Find the surface area of the right angle prism Working S4 = 2 x3 =6cm2 Rectangle 1 Area = l x b = 3 x10 =30cm2 5cm Rectangle 2 Area = l x b 3cm 10cm = 4 x 10 =40cm2 www.mathsrevision.com Rectangle 3 Area = l x b = 5 x 10 =50cm2 2 triangles the same 1 rectangle 3cm by 10cm Total Area = 6+6+30+40+50 = 132cm2 1 rectangle 4cm by 10cm 1 rectangle 5cm by 10cm Compiled by Mr. Lafferty Maths Dept.

  23. Net and Surface Area Triangular Prism Now try Ex 5.2 Ch11 (page 173) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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