18-May-15Compiled by Mr. Lafferty Maths Dept. The Cube The Cuboid The Triangular Prism Net and Surface Area Faces Edges and Vertices S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions S4

18-May-15Compiled 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

18-May-15Compiled 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

18-May-15Compiled 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

18-May-15 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

18-May-15 Compiled by Mr. Lafferty Maths Dept. Face Edges and Vertices Name and then 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

18-May-15Compiled by Mr. Lafferty Maths Dept. Now Try Ex 2.1 Ch11 Q9 (page 168) Net and Surface Area The Cube S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Net and Surface Area The Cube Learning Intention Success Criteria 1.To know what net means. 1.To understand the term net for the cube and work out its surface area. 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. S4

18-May-15Compiled 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

18-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 4.1 Ch11 (page 170) Net and Surface Area The Cube S4

18-May-15Compiled 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

18-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions 2 cm 6cm 9cm 7 cm S4

18-May-15Compiled 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

18-May-15Compiled 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

18-May-15Compiled 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-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 5.1 Ch11 (page 172) Net and Surface Area The Cuboid S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Starter Questions 8cm 6cm S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Net and Surface Area Triangular Prism Learning Intention Success Criteria 1.Draw a net of a triangular prism. 1.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. S4

18-May-15Compiled by Mr. Lafferty Maths Dept. Back Front This is a NET for the triangular prism. 5 faces 3 congruent rectangles 2 congruent triangles 10cm 4cm Net and Surface Area Triangular Prism 4cm 10cm Bottom 4cm FT BT S4

18-May-15Compiled 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

18-May-15Compiled by Mr. Lafferty Maths Dept. Now try Ex 5.2 Ch11 (page 173) Net and Surface Area Triangular Prism