3. I would like to express my special thanks of
gratitude to my teacher (name of the teacher),
who gave me the golden opportunity to do this
wonderful Project, which also helped me in doing a
lot of Research and I came to know about so many
new things.
I am really thankful to them.
Secondly i would also like to thank my parents and
friends who helped me a lot in finishing this project
within the limited time.
I am making this project not only for marks but to also
increase my knowledge .
THANKS AGAIN TO ALL WHO HELPED ME.

4. arc length
sphere
parametric surfaces
calculus
partial derivatives double integration

5. Volume is the measure of the amount of space inside of a
solid figure, like a cube, ball, cylinder or pyramid. It's units
are always "cubic", that is, the number of little element
cubes that fit inside the figure.
The formula for the volume of a rectangular prism is:
Area = l x w x h
where:
l = length
w = width
h = height

6. 2
5 3 6
4

7. • Area of rectangle 1= (l * h) +
• Area of rectangle 2= (l * h) +
• Area of rectangle 3= (l * b) +
• Area of rectangle 4= (l * b) +
• Area of rectangle 5= (h * b) +
• Area of rectangle 6= (h * b)
=2(l*b) + 2(h*b) + 2(l*h)
=2(lb + bh + lh)

8. This shows that
Surface area of the
cuboid

9. This shows that
2(lb+bh+lh)
Surface area of the
cuboid
sq units

17. of a cube

18. Curved surface area of a CYLINDER
=2(pie)rh
=2 (pie)r*h
=perimeter of base * height

19. Total surface area = Curved surface area +
Area of circular ends
=2 (pie)rh + 2 (pie)r*r
=2 (pie)r (h + r)

20. VOLUME OF CYLINDER

21. Curved surface area of HOLLOW
CYLINDER
= external S.A + internal S.A
= 2(pie)Rh +2 (pie)rh
= 2(pie)h (R + r)

23. = external vol. – internal vol.
= (pie)R*Rh - (pie)r*rh
= (pie)h(R*R – r*r)

24. Curved surface area of right circular cone
= (pie) r l sq. units

25. Total surface area of cone
= C.S.A + Area of base
= (pie)rl + (pie)r*r
= (pie)r(l + r) sq. units