Post on 23-Dec-2015
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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The Cube
The Cuboid
The Triangular Prism
Net and Surface Area Net and Surface Area
Faces Edges and Vertices
Level 2
1. Find the area a rectangle with length 6cm and breadth 18cm.
2. Calculate - 14- (- 8)
3. Calculate the percentage value of the shaded area.
4. Change 692cm into metres.19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Faces Edges and Faces Edges and VerticesVertices
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1.1. Understand the terms Understand the terms Face Edge and Vertex.Face Edge and Vertex.
1. We are learning the meaning of Face, Edge and Vertex.
2.2. Calculate the number of Calculate the number of Faces Edges and Faces Edges and Vertices for various Vertices for various shapes.shapes.
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled 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
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Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled 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.
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6 faces
12 edges
8 vertices
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Face Edges and Vertices
Faces are squares
Calculate the number of faces
edges and vertices for a cube.
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6 faces
12 edges
8 vertices
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Face Edges and Vertices
Name and then calculate the
number of faces, edges and vertices for these shapes
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Cylinder
Cone
SphereTriangular Prism
3 faces2 edges0 vertices
5 faces9 edges6 vertices
2 faces1 edge1 vertex
1 face0 edges0 vertices
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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3
1. Find the area a rectangle with length 6cm and perimeter 18cm.
2. Calculate - 14- 8+(- 8)
3. Calculate the percentage value of the shaded area.
4. Change 692cm into ml.
5. What is the coordinate F(4,- 4) reflected in the x- axis?
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Net and Surface Area Net and Surface Area The CubeThe Cube
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1.1. Understand the term Understand the term net.net.
1. We are learning theterm net.
2.2. Decide if a diagram Decide if a diagram makes a net for a cube.makes a net for a cube.
3.3. Calculate the surface area Calculate the surface area of a cube using previous of a cube using previous knowledge of area.knowledge of area.
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
BottomTopleftSideBackRightSideFront
The net of a solid shape is the shape you would getThe net of a solid shape is the shape you would getif it was made of cardboard and you “opened it upif it was made of cardboard and you “opened it upand laid it out flat”. and laid it out flat”.
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This is a NET for the cube
Net and Surface Area Net and Surface Area The CubeThe Cube
6 faces
All squaresAll congruent
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now try Exercise 1Ch20 (page 234)
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Net and Surface Area Net and Surface Area The CubeThe Cube
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Question : Find the surface area of the cube below.
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Net and Surface Area Net and Surface Area The CubeThe Cube
5cm
What do we know?
• Made up of 6 facesMade up of 6 faces
• All the same (congruent)All the same (congruent)
• All squaresAll squares
Area = length x length
= l x l
2
= 5 x 5
= 25 cm
Total6 x 25 = 150cm
2
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now try Exercise 2Ch20 (page 235)
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Net and Surface Area Net and Surface Area The CubeThe Cube
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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1. Calculate the area of the shape.
2. Write 3.56m in centimetres?
3. Find the volume of a cube with length 6cm.
4. 80% of 300 people have blues. How many of the people DO NOT have blue eyes.
2 cm
6cm
9cm
7 cm
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Net and Surface Area Net and Surface Area The CuboidThe Cuboid
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1.1. Be able to draw a net of Be able to draw a net of a cuboid.a cuboid.
1. We are learning to draw the net of a cuboid and calcualte its surface area. 2.2. Calculate the surface area Calculate the surface area
of a cuboid using previous of a cuboid using previous knowledge of the area of a knowledge of the area of a rectangle.rectangle.
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Bottom
Top
LS Back RS
Front
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This is a NET for the cuboid
Net and Surface Area Net and Surface Area The CuboidThe Cuboid
6 faces
Top and bottom congruent
Front and back congruent
Left and right congruent
5cm
4cm
3cm
5cm
3cm
4cm
3cm
4cm
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled 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 =15cm2
Side Area = l x b
= 3 x 4 =12cm2
Total Area
= 20+20+15+15+12+12= 94cm
2
Front and back are the same
Top and bottom are the same
Right and left are the same
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DEMO
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now try Exercise 3Ch20 (page 236)
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Net and Surface Area Net and Surface Area The CuboidThe Cuboid
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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1. A cube of length 10cm is filled with water. What is the volume of liquid in litres.
2. What is area of the triangle.
3. 60% of 500 pupils like Maths. How many pupils like Maths. How many pupils don't like Maths.
4. How long is it from 6.45am to 14.22 hrs
8cm
6cm
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Net and Surface Area Net and Surface Area Triangular PrismTriangular Prism
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1.1. Be able to draw a net of Be able to draw a net of a triangular prism.a triangular prism.
1. We are learning to draw the net of a triangular prism.
2.2. Calculate the surface area Calculate the surface area of a right-angled triangular of a right-angled triangular prism using the area prism using the area formulae for a rectangle formulae for a rectangle and triangle.and triangle.
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Back
Front
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This is a NET for the triangular prism.
5 faces
3 congruent rectangles
2 congruent triangles10cm
4cm
Net and Surface Area Net and Surface Area Triangular PrismTriangular Prism
4cm
4cm
10cm
Bottom4cm
FTBT
Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
= 2 x3 =6cm2
Example Find the surface area of the right
angle prism
Working
Rectangle 1 Area = l x b
= 3 x10 =30cm2
Rectangle 2 Area = l x b
= 4 x 10 =40cm2
Total Area = 6+6+30+40+50 = 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 =1
bh2
Rectangle 3 Area = l x b= 5 x 10 =50cm
2
5cm
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Level 2
19 Apr 202319 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now try Exercise 4Ch20 (page 239)
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Net and Surface Area Net and Surface Area Triangular PrismTriangular Prism
Level 2