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7/30/2019 Introducing Surface Area

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Making Solids: Investigation NameDate

12 Centicubes

The diagrams below show two solids made from 12 centicubes each.

They are both 3 2 2 rectangular prisms and are considered to be the same.

The rectangular prism above has a surface area of 32 cm2.

Surface area = 6 + 6 + 4 + 4 + 6 + 6

= 32 cm

There are three more rectangular prisms that can be made from 12 centicubes.

Build each of the rectangular prisms and find the surface area of each.

Prism Surface Area

3 2 2 32 cm2

12 1 1

6 2 1

4 3 1

16 CenticubesHow many different rectangular prisms can you make using 16 centicubes (there are 4)?

Find the surface area of each. Which prism has the smallest surface area?

Prism Surface Area

20 Centicubes

How many different rectangular prisms can you make using 20 centicubes (there are 4)?

Find the surface area of each. Which prism has the smallest surface area?

Prism Surface Area

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7/30/2019 Introducing Surface Area

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Answers

12

Cubes SA

3 2 2 32

12 1 1 50

6 2 1 40

4 3 1 38

16 cubes

16 1 1 66

8 2 1 52

4 4 1 48

4 2 2 40

20 cubes

20 1 1 82

10 2 1 64

5 4 1 58

5 2 2 48

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7/30/2019 Introducing Surface Area

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Australia License. mathsclass.net
7/30/2019 Introducing Surface Area

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Surface Area

For each solid,

1. Draw it's net

2. Count squares to find it's surface area.

4cm

rectangular

prism 2cm

5cm

3cm

cube

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Australia License. mathsclass.net
7/30/2019 Introducing Surface Area

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Answer

9

9 9 9 9

9 54

10

8 20 8 20

10

76

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Australia License. mathsclass.net

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