Trays. The first square I will investigate is a 24cm x 24cm square. My prediction is that the shopkeepers statement will also be true for a square of this size.

Authors Avatar
TRAYS

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

If the width of the side of the tray is represented by the letter w then we have:

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)

6

256

6

64

256

2

4

392

28

12

96

3

2

432

36

44

44

4

0

400

40

60

00

5

8

320

40

60

64

6

6

216

36

44

36

7

4

12

28

12

6

8

2

32

6

64

4

Conclusion

The results table and the diagrams above prove that the shopkeeper's statement is true as you can see by the blue highlighted part of the results table above.

Now I have discovered that the shopkeeper's statement is true I will investigate this further by finding out if the statement is true for other sized squares.

24cm x 24cm square

The first square I will investigate is a 24cm x 24cm square. My prediction is that the shopkeeper's statement will also be true for a square of this size.

If the width of the sides is represented by W then we have:

So the volume of the tray = w(24cm - 2w)(24cm - 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)

22

484

22

88

484

2

20

800

40

60

400

3

8

972

54

216

324

4

6

024

64

256

256

5

4

980

70

280

96

6

2

864

72

288

44

7

0

700

70

280

00

8

8

512

64

256

64

9

6

324

54

216
Join now!


36

0

4

60

40

60

6

1

2

44

22

88

4

Conclusion

The results table above proves that my prediction and the shopkeeper's statement are also true for a 24cm x 24cm square.

I will now investigate this further by finding out if the statement is true for a 26cm x 26cm square.

26cm x 26cm square

I predict that the shopkeeper's statement will also be true for a 26cm x 26cm square tray.

If the width ...

This is a preview of the whole essay