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Volume Project - (instructions Volume Project)
What is the volume of the following shape.  Rectangles with the length = are placed on a base described by .  (See the picture)

Equation: 

X (cm)

Base (cm)

Height (cm)

Volume (cm3)

0.5

1.4

2.8

1.96

1

2

4

4

1.5

2.4

2.9

5.88

2

2.8

5.7

7.98

2.5

8.2

6.3

10.1

3

3.5

6.9

12.1

3.5

3.7

7.5

13.9

4

4

8

16

4.5

4.2

8.5

17.85

5

4.5

8.9

20.03

5.5

4.7

9.4

22.09

6

4.9

9.8

24.01

6.5

5.1

10.2

26.01

7

5.3

10.6

28.09

7.5

5.5

11.0

30.25

8

5.7

11.3

32.2

8.5

5.8

11.7

33.93

9

6

12

36

9.5

6.2

12.3

38.13

10

6.3

12.6

39.69

10.5

6.5

13

42.25

11

6.6

13.3

43.89

11.5

6.8

13.6

46.24

12

6.9

13.9

47.96

12.5

7.1

14.1

50.06

13

7.2

14.4

51.84

13.5

7.4

14.8

54.39

14

7.5

15

56.25

14.5

7.6

15.2

57.76

15

7.7

15.5

59.68

15.5

7.9

15.7

62.02

16

8

16

64

16.5

8.1

16.2

65.61

17

8.2

16.5

67.65

17.5

8.4

16.7

70.14

18

8.5

17

72.25

18.5

8.6

17.2

73.96

19

8.7

17.4

73.69

19.5

8.8

17.7

77.88

20

8.9

17.9

79.66

N=40X=0.5cm

Sum of Volume=1639.38cm3

Area=2y(4y)=8y2

Area=8x

Volume:

4x2 (from 0 to 20.5)

4(20.5)2 – 4(0)2

1681 cm3

Percent Error:

(|Actual-Approximates/Actual) * 100%

(41.62 cm3/1681 cm3) * 100%

=2.48%