19-Aug-14Compiled by Mr. Lafferty Maths Dept. Net of Solids Net and Surface Area Surface Area S4.
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11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Net of Solids
Net and Surface Area Net and Surface Area
Surface Area
S4
11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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S4
11 Apr 202311 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. To know the terms Face To know the terms Face Edge and Vertex.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.
2.2. Calculate the number of Calculate the number of Faces Edges and Faces Edges and Vertices for various Vertices for various shapes.shapes.
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Tuesday 11 April 2023Tuesday 11 April 2023 44Created by Mr.LaffertyCreated by Mr.Lafferty
Revision of Revision of AreaArea
2Area l l l 12
Area b h
l
l
Area l b
l
b h
b
The Square The Rectangle The RAT
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11 Apr 202311 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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11 Apr 202311 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
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11 Apr 202311 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
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11 Apr 202311 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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11 Apr 202311 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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11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Face Edges and Vertices
Calculate the number of faces,
edges and vertices for these shapes
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Cylinder
Cone
Sphere
Triangular Prism
3 faces2 edges
0 Vertices
5 faces9 edges
6 Vertices 2 faces1 edges
1 Vertices
1 faces0 edges
0 Vertices
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11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now Try Ex 1Ch7 (page 80)
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Net and Surface Area Net and Surface Area The CubeThe Cube
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11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
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11 Apr 202311 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. Draw a net of a cuboid.Draw a net of a cuboid.1. To draw the net of a cuboid and work out its surface area. 2.2. Work out the surface Work out the surface
area of a cuboid using area of a cuboid using previous knowledge of previous knowledge of the area of a rectangle.the area of a rectangle.
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11 Apr 202311 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
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11 Apr 202311 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
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11 Apr 202311 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
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11 Apr 202311 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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11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Now try Ex 2Ch7 (page 85)
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Net and Surface Area Net and Surface Area The CuboidThe Cuboid
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