Trays

1500 Words3 Pages

TRAYS

Firstly I am going to investigate the shopkeeper's statement.

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L (length) x W (width) x H (height) = V (Volume)

16cm x 16cm x 1cm = 256cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

14cm x 14cm x 2cm = 392cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

12cm x 12cm x 3cm = 432cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

10cm x 10cm x 4cm = 400cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

8cm x 8cm x 4cm = 320cm3

L (length) x W (width) x H (height) = V (Volume)

6cm x 6cm x 6cm = 216cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

4cm x 4cm x 7cm = 112cm3

[IMAGE]

L (length) x W (width) x H (height) = V (Volume)

2cm x 2cm x 8cm = 32cm3

If the width of the side of the tray is represented by the letter w

then we have:

[IMAGE]

So The volume of the tray = w (18cm - 2w)(18cm -2w)

Results Table

Width of Side (cm)

Length of base (cm)

Volume (cm3)

Area of Side (cm2)

Area of all sides(cm2)

Area of base (cm2)

1

16

256

16

64

256

2

14

392

28

112

196

3

12

432

36

144

144

4

10

400

40

160

100

5

8

320

40

160

64

6

6

216

36

144

36

7

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