S4_General_Surface_Area_TJ_Chapter7

S4_General_Surface_Area_TJ_Chapter7 - Net and Surface Area...

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Unformatted text preview: Net and Surface Area S4 www.mathsrevision.com Surface Area Net of Solids 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Faces Edges and Vertices S4 Learning Intention Success Criteria 1. To know the terms Face Edge and Vertex. 2. Calculate the number of Faces Edges and Vertices for various shapes. www.mathsrevision.com 1. To understand the meaning of Face Edge and Vertex in relation to a various shapes an be able to identify them. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Revision of Area S4 The Square www.mathsrevision.com The Rectangle The RAT l l Ar e a = l l =l 2 b l Ar e a = l b h b 1 Ar e a = b 2 h Monday 13 February 2012 Created by Mr.Lafferty 4 S4 Don't forget the faces edges and corners we can't see at the back Face Edges and Vertices The shape below is called a cuboid. www.mathsrevision.com It is made up of FACES, EDGES and VERTICES. Edges are where the two faces meet (lines) Faces are the sides of a shape (surface area) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Vertices where lines meet (corners) S4 Calculate the number of faces edges and vertices for a cuboid. Face Edges and Vertices www.mathsrevision.com 6 faces Front and back are the same Top and bottom are the same Right and left are the same 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. 12 edges 8 vertices S4 Calculate the number of faces edges and vertices for a cube. Face Edges and Vertices www.mathsrevision.com 6 faces Faces are squares 12 edges 8 vertices Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 Example S4 Find the surface area of the cuboid Working Front Area = l x b 2 = 5 x 4 =20cm 4cm 3cm www.mathsrevision.com Top Area = l x b 2 = 5 x 3 =15cm Side Area = l x b = 3 x 4 =12cm Total Area = 20+20+15+15+12+12 2 = 94cm 2 5cm Front and back are the same Top and bottom are the same Right and left are the same 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Example S4 Find the surface area of the right angle prism Working Triangle Area = www.mathsrevision.com 3cm 4cm 5cm 10cm = 2 x3 =6cm Rectangle 1 Area = l x b 2 = 3 x10 =30cm Rectangle 2 Area = l x b = 4 x 10 =40cm 2 1 bh 2 2 2 triangles the same 1 rectangle 3cm by 10cm 1 rectangle 4cm by 10cm 1 rectangle 5cm by 10cm 13 Feb 2012 Rectangle 3 Area = l x b 2 = 5 x 10 =50cm Total Area 2 = 6+6+30+40+50 = 132cm Compiled by Mr. Lafferty Maths Dept. S4 Calculate the number of faces, edges and vertices for these shapes Face Edges and Vertices 5 faces 9 edges 6 Vertices 2 faces 1 edges 1 Vertices www.mathsrevision.com Cylinder 3 faces 2 edges 0 Vertices 13 Feb 2012 Triangular Prism Cone Sphere 1 faces 0 edges 0 Vertices Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cube www.mathsrevision.com Now Try Ex 1 Ch7 (page 80) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions S4 www.mathsrevision.com 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cuboid Learning Intention Success Criteria 1. Draw a net of a cuboid. 2. Work out the surface area of a cuboid using previous knowledge of the area of a rectangle. www.mathsrevision.com 1. To draw the net of a cuboid and work out its surface area. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cube 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 Right left Back Front Side Side 6 faces All congruent All squares Top Bottom 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. This is a NET for the cube S4 Net and Surface Area The Cube Question : Find the surface area of the cube below. www.mathsrevision.com What do we know? Made up of 6 faces All the same (congruent) All squares 5cm A r e a = le ng t h x le ng t h = l x l = 5 x 5 = 2 5 c m 2 Compiled by Mr. Lafferty Maths Dept. Total 6 x 25 = 2 150cm 13 Feb 2012 S4 Net and Surface Area The Cuboid Bottom 3cm RS 3cm 4cm 4cm www.mathsrevision.com 4cm 3cm 5cm 6 faces Top and bottom congruent Front and back congruent Left and right congruent 13 Feb 2012 LS Back Top Front 5cm This is a NET for the cuboid Compiled by Mr. Lafferty Maths Dept. Example S4 Find the surface area of the cuboid Working Front Area = l x b 2 = 5 x 4 =20cm 4cm 3cm www.mathsrevision.com Top Area = l x b 2 = 5 x 3 =15cm Side Area = l x b = 3 x 4 =12cm Total Area = 20+20+15+15+12+12 2 = 94cm 2 5cm Front and back are the same Top and bottom are the same Right and left are the same 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cuboid www.mathsrevision.com Now try Ex 2 Ch7 (page 85) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. ...
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