1. Friday, January 25, 2013
SOLID GEOMETRY
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2. Friday, January 25, 2013
Volume of a right prism
Formula for Prism
Volume = base area x height
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3. Friday, January 25, 2013
Volume of a right prism
Given base area= 35cm2
8cm
Formula for Prism
Volume = base area x height
= 35 cm2 x 8 cm
= 280 cm3
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4. Friday, January 25, 2013
Exercise
 1. Find the volume of the given prisms.
 a. Base area = 40 cm 2 Height = 7 cm
 b. Base area = 34 cm 2 Height = 6 cm
 c. Base area = 47 cm 2 Height = 2.5 cm
 d. Base area = 79 cm 2 Height = 10.5 cm
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5. Friday, January 25, 2013
CYLINDER
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6. Friday, January 25, 2013
Volume of cylinder
Formula for Cylinder
Volume = base area x height
= π r2 h
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7. Friday, January 25, 2013
Volume of cylinder
Formula for Cylinder
7cm
Volume = base area x height
8cm = π r2 h
= 22 x 7 x 7 x 8
7
= 1232 cm3
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8. Friday, January 25, 2013
Exercise
 1. Find the volume of the given cylinder.
 a. Base area = 49 cm2 Height = 9 cm
 b. Base area = 34 cm2 Height = 7 cm
 c. Radius = 7 cm Height = 2.5 cm
 d. Radius = 49 cm Height = 10 cm
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9. Friday, January 25, 2013
Exercise
 2. Find the volume of the given cylinder.
 a. c.
Height = 7cm Radius = 7cm
Height = 2.4cm Radius = 7cm
d.
 b.
Height = 5.5cm Radius = 14cm
Height = 13cm Radius = 14cm
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10. Friday, January 25, 2013
CONE
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11. Friday, January 25, 2013
Volume of CONE
Formula for Cone
Volume = 1 x base area x height
3
= 1 π r2 h
3
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12. Friday, January 25, 2013
Exercise
 1. Find the volume of the given cone.
 a. Base area = 63 cm2 Height = 9 cm
 b. Base area = 72 cm2 Height = 7 cm
 c. Radius = 7 cm Height = 3 cm
 d. Radius = 49 cm Height = 15 cm
1a. Volume = (63 x 9 ) / 3 = 189cm3 1c. Volume = 1 x 22 x 7 x 7 x 3 = 154cm3
1b. Volume = (72 x 7 ) / 3 = 168 cm3 3 7
1d. Volume = 1 x 22 x 49 x 49 x 15 = 37730 cm3
3 7
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13. Friday, January 25, 2013
Exercise
 2. Find the volume of the given cone.
2b.
 a.
Height = 4cm Volume Cone= 1 x 22 x 7 x 7 x 14
Radius = 7cm
3 7
= 15092
2a.
21
Volume Cone= 1 x 22 x 7 x 7 x 4 b.
= 718.67cm3
3 7
= 4312
21 Height = 14cm Radius = 7cm
= 205.33cm3
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14. Friday, January 25, 2013
SOLID GEOMETRY
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15. Friday, January 25, 2013
PYRAMID
Formula for Volume of Pyramid
height
Volume = base area x height
3
width
Volume = length x width x h
length
3
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16. Friday, January 25, 2013
Exercise
 1. Find the volume of the given pyramid.
 a. Base area = 49 cm 2 Height = 9 cm
 b. Base area = 34 cm 2 Height = 7 cm
 c. Length =7 cm Width= 9cm Height = 2.5 cm
 d. Length =8 cm Width= 10cm Height = 6 cm
1a. Vpy= 49 x 9 = 147 cm3 1c. Vpy= 7 x 9 x2.5 = 52.5 cm3
3 3
1b. Vpy= 34 x 7 = 79.33 cm3 1d. Vpy= 8 x 10 x 6 = 160 cm3
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17. Friday, January 25, 2013
Exercise
 2. Find the volume of the given pyramid.
 a. b.
6 cm 8 cm
8cm 10cm
6cm 5cm
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18. Friday, January 25, 2013
SPHERE
Volume of Sphere
Volume = 4 π r3
3
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19. Friday, January 25, 2013
SPHERE
Volume = 4 π r3
3
7CM
= 4 X 22 X 7 X 7 X 7
3 7
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20. Friday, January 25, 2013
Exercise
 1. Find the volume of the given sphere.
 a. radius = 3.5cm Ans: 179.67cm 3
 b. radius = 2.1cm Ans: 38.81cm e. 3
 c. radius = 5 cm Ans: 523.81cm 3
8
 d.
3
Ans: 113.14cm3 Ans: 268.19cm3
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21. Friday, January 25, 2013
Finding the height
or the radius
of a cylinder.
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22. Friday, January 25, 2013
1. Finding the height or the radius of a cylinder.
a. The volume of a c. The volume of a
cylinder is 462 r=7cm h=16cm cylinder is 154
cm3. Find its cm3. Find its
radius if the height if the
height is 3 cm. radius is 7/4 cm.
b. The volume of a d. The volume of a
cylinder is 4400 cylinder is 1056
cm3. Find its cm3. Find its
h=1.714cm
radius if the height if the
height is 14 cm. r=10cm radius is 14 cm.
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23. Friday, January 25, 2013
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24. Friday, January 25, 2013
Finding the height
or the radius
of a cone.
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25. Friday, January 25, 2013
2. Finding the height or the radius of a cone.
a. The volume of a c. The volume of a
cone is 132 cm3. cone is 154 cm3.
Find its radius if the Find its height if the
height is 14 cm. radius is 7 cm.
b. The volume of a d. The volume of a
cone is 77 cm3. cone is 297 cm3.
Find its radius if the Find its height if the
height is 6 cm. radius is 9 cm.
2a. 3cm 2b. 3.5cm 2c. 3cm 2d. 3.5cm
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26. Friday, January 25, 2013
Finding the height,
length or width
of a pyramid.
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27. Friday, January 25, 2013
3. Finding the height or length or width of a pyramid.
c. The volume of a
a. The volume of a pyramid is 64 cm3.
pyramid is 180 cm3. Find its height if the
Find its height if the length is 4 cm and
base area is 60 cm2. the width is 8cm.
b. The volume of a d. The volume of a
pyramid is 40 cm3. pyramid is 40 cm3.
Find its height if the Find its length if the
base area is 20 cm2. height is 6 cm and
3a. 9cm 3b. 6cm the width is 4cm.
3c. 6cm 3d. 5cm
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28. Friday, January 25, 2013
VOLUME OF COMBINED
SOLID
BY
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29. Friday, January 25, 2013
Volume = volume of cylinder + volume of cone
Volume = πr2h + 1 πr2h
3cm
3
Volume = 22 x 7 x 7 x 10 + 1 x 22 x 7 x 7 x 3
7 3 7
Volume = 22 x 7 x 10 + 1 x 22 x 7
10cm Volume = 1540 + 154
Volume = 1694 cm3
14 cm
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30. Friday, January 25, 2013
Find the volume of the combined solid.
1. 8cm 2.
2cm
3cm
1232cm3
6cm
Radius=7cm
3cm
1334.67cm3
Radius=7cm
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31. Friday, January 25, 2013
Find the volume of the combined solid.
3. 2104.67cm3 2361.33cm3
4.
6cm
9cm
Radius=7cm Radius=7cm
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32. Friday, January 25, 2013
Find the volume of the combined solid.
5. 1026.67cm3
6. 9cm
2720.67cm3
10cm
6cm
Radius=7cm Diameter=14cm
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33. Friday, January 25, 2013
CONE
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34. Friday, January 25, 2013
CONE
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