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19-Aug-14Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Net of Solids Net and Surface Area Surface Area S4.

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Presentation on theme: "19-Aug-14Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Net of Solids Net and Surface Area Surface Area S4."— Presentation transcript:

1 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Net of Solids Net and Surface Area Surface Area S4

2 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions S4

3 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Faces Edges and Vertices Learning Intention Success Criteria 1.To know the terms Face Edge and Vertex. 1.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. S4

4 Tuesday, 19 August 2014Tuesday, 19 August 2014Tuesday, 19 August 2014Tuesday, 19 August Created by Mr.Lafferty Revision of Area l l l bh b The SquareThe Rectangle The RAT S4

5 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Face Edges and Vertices The shape below is called a cuboid. It is made up of FACES, EDGES and VERTICES. Faces are the sides of a shape (surface area) Edges are where the two faces meet (lines) Vertices where lines meet (corners) Don’t forget the faces edges and corners we can’t see at the back S4

6 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Face Edges and Vertices Front and back are the same Top and bottom are the same Right and left are the same Calculate the number of faces edges and vertices for a cuboid. 6 faces 12 edges 8 vertices S4

7 19-Aug-14 Compiled by Mr. Lafferty Maths Dept. Face Edges and Vertices Faces are squares Calculate the number of faces edges and vertices for a cube. 6 faces 12 edges 8 vertices S4

8 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Front Area = l x b = 5 x 4 =20cm 2 Example Find the surface area of the cuboid Working 5cm 4cm 3cm Top Area = l x b = 5 x 3 =15cm 2 Side Area = l x b = 3 x 4 =12cm 2 Total Area = = 94cm 2 Front and back are the same Top and bottom are the same Right and left are the same S4

9 19-Aug-14Compiled by Mr. Lafferty Maths Dept. = 2 x3 =6cm 2 Example Find the surface area of the right angle prism Working Rectangle 1 Area = l x b = 3 x10 =30cm 2 Rectangle 2 Area = l x b = 4 x 10 =40cm 2 Total Area = = 132cm 2 2 triangles the same 1 rectangle 3cm by 10cm 1 rectangle 4cm by 10cm 3cm 4cm 10cm 1 rectangle 5cm by 10cm Triangle Area = Rectangle 3 Area = l x b = 5 x 10 =50cm 2 5cm S4

10 19-Aug-14 Compiled by Mr. Lafferty Maths Dept. Face Edges and Vertices Calculate the number of faces, edges and vertices for these shapes Cylinder Cone Sphere Triangular Prism 3 faces 2 edges 0 Vertices 5 faces 9 edges 6 Vertices 2 faces 1 edges 1 Vertices 1 faces 0 edges 0 Vertices S4

11 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Now Try Ex 1 Ch7 (page 80) Net and Surface Area The Cube S4

12 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Starter Questions S4

13 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Net and Surface Area The Cuboid Learning Intention Success Criteria 1.Draw a net of a cuboid. 1.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. S4

14 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Bottom Top left Side Back Right Side Front 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”. This is a NET for the cube Net and Surface Area The Cube 6 faces All squares All congruent S4

15 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Question : Find the surface area of the cube below. Net and Surface Area The Cube 5cm What do we know? Made up of 6 faces Made up of 6 faces All the same (congruent) All the same (congruent) All squares All squares Total 6 x 25 = 150cm 2 S4

16 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Bottom Top LS Back RS Front This is a NET for the cuboid Net and Surface Area The Cuboid 6 faces Top and bottom congruent Front and back congruent Left and right congruent 5cm 4cm 3cm 5cm 3cm 4cm 3cm 4cm S4

17 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Front Area = l x b = 5 x 4 =20cm 2 Example Find the surface area of the cuboid Working 5cm 4cm 3cm Top Area = l x b = 5 x 3 =15cm 2 Side Area = l x b = 3 x 4 =12cm 2 Total Area = = 94cm 2 Front and back are the same Top and bottom are the same Right and left are the same S4

18 19-Aug-14Compiled by Mr. Lafferty Maths Dept. Now try Ex 2 Ch7 (page 85) Net and Surface Area The Cuboid S4


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