Unformatted text preview: Net and Surface Area
S4 www.mathsrevision.com Faces Edges and Vertices The Cube The Cuboid The Triangular Prism 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4 1. Find t he area a rect angle wit h lengt h 6cm and breadt h 18cm. Calculat e  14  ( 8) Calculat e t he percent age value of t he shaded area. Change 692cm int o met res.
Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 2. 3. 4.
13 Feb 2012 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. 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 S4 Name and then 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 2.1 Ch11 Q9 (page 168) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4
1. Find t he area a rect angle wit h lengt h 6cm and perimet er 18cm. Calculat e  14  8 +( 8) Calculat e t he percent age value of t he shaded area. Change 692cm3 int o ml. W hat is t he coordinat e F(4, 4) r ef lect ed in t he x  axis? www.mathsrevision.com 2. 3. 4. 5. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cube
Learning Intention Success Criteria 1. To know what net means. 2. Decide if a diagram makes a net for a cube. 3. Work out the surface area of a cube using previous knowledge of area. www.mathsrevision.com 1. To understand the term net for the cube 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 www.mathsrevision.com Now try Ex 4.1 Ch11 (page 170) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area The Cube
Question : Find the surface area of the cube below.
What do we know? Made up of 6 faces All the same (congruent) All squares www.mathsrevision.com 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 Starter Questions
S4 1. Calculat e t he area of t he shape.
2 cm 9cm 7 cm 6cm www.mathsrevision.com 2. 3. 4. W rit e 3. 56m in cent imet res? Find t he volume of a cube wit h lengt h 6cm. 5% of 300 people have blues. How many of t he people have blue eyes.
Compiled by Mr. Lafferty Maths Dept. 13 Feb 2012 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 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 5.1 Ch11 (page 172) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Starter Questions
S4
1. A cube of lengt h 10cm is f illed wit h wat er . What is t he volume of liquid in lit res. W hat is area of t he t riangle. www.mathsrevision.com 2. 3. 6cm 8cm 60% of 500 pupils like Mat hs. How many pupils like Mat hs. How many pupils don' t like Mat hs. How long is it f rom 6. 45am t o 14. 22 hrs
Compiled by Mr. Lafferty Maths Dept. 4.
13 Feb 2012 S4 Net and Surface Area Triangular Prism
Learning Intention Success Criteria 1. Draw a 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 1. To draw the net of a triangular prism. 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. S4 Net and Surface Area Triangular Prism www.mathsrevision.com 4cm 10cm 4cm 5 faces 3 congruent rectangles 2 congruent triangles
13 Feb 2012 Bottom BT Back Front
10cm 4cm FT
4cm This is a NET for the triangular prism.
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. Net and Surface Area Triangular Prism www.mathsrevision.com Now try Ex 5.2 Ch11 (page 173) 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. ...
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