19-Aug-14Compiled by Mr. Lafferty Maths Dept. Net of Solids Net and Surface Area Surface Area S4.

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Net of Solids

Net and Surface Area Net and Surface Area

Surface Area

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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.

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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