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Net and Surface Area

Level 2. Net and Surface Area . Faces Edges and Vertices. The Cube. The Cuboid. www.mathsrevision.com. The Triangular Prism . Level 2. Starter Questions. www.mathsrevision.com. Level 2. Faces Edges and Vertices. Learning Intention. Success Criteria.

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Net and Surface Area

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

  3. Level 2 Faces Edges and Vertices Learning Intention Success Criteria • Understand the terms Face Edge and Vertex. • We are learning the meaning of Face, Edge and Vertex. 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 Level 2 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 Level 2 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 Level 2 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 Level 2 Cone 2 faces 1 edge 1 vertex Triangular Prism www.mathsrevision.com Cylinder Sphere 3 faces 1 face 5 faces 2 edges 0 edges 9 edges 0 vertices 0 vertices 6 vertices Compiled by Mr. Lafferty Maths Dept.

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

  9. Level 2 Net and Surface Area The Cube Learning Intention Success Criteria • Understand the term net. • We are learning the • term net. • Decide if a diagram makes a net for a cube. www.mathsrevision.com • Calculate the surface area of a cube using previous knowledge of area. Compiled by Mr. Lafferty Maths Dept.

  10. Top left Side Back Front Bottom Right Side Net and Surface Area The Cube Level 2 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.

  11. Net and Surface Area The Cube Level 2 Now try Exercise 1 Ch20 (page 234) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  12. Net and Surface Area The Cube Level 2 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.

  13. Net and Surface Area The Cube Level 2 Now try Exercise 2 Ch20 (page 235) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  15. Level 2 Net and Surface Area The Cuboid Learning Intention Success Criteria • Be able to draw a net of a cuboid. • We are learning to draw the net of a cuboid and calcualte its surface area. 2. Calculate 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 Level 2 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 Level 2 Front Area = l x b DEMO = 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 Level 2 Now try Exercise 3 Ch20 (page 236) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  19. 6cm 8cm Level 2 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  20. Level 2 Net and Surface Area Triangular Prism Learning Intention Success Criteria • Be able to draw a net of a triangular prism. • We are learning to draw the net of a triangular prism. 2. Calculate 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 Level 2 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 Level 2 = 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 Level 2 Now try Exercise 4 Ch20 (page 239) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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