The document contains geometric formulas for calculating the surface areas and volumes of various 3D shapes including: - Cuboids: Surface area is 2(lb + bh + hl) and volume is l x b x h - Cubes: Surface area is 6a^2 and volume is a^3 - Cylinders: Curved surface area is 2πr(h+r), circular base area is πr^2, and volume is πr^2h - Cones: Curved surface area of a sector is πrl, total surface area is πr^2 + πrl, and volume is 1/3πr^2h

1. Made By – Ayushi Raturi

2. Figures
Solid Plane
Fig. Fig.

3. Closed Cuboid and Open Cuboid
5
1 3 4
6

4. Area of rectangle 1 = (l x h) +
Area of rectangle 2 = (l x h) +
Area of rectangle 3 = (l x b) +
Area of rectangle 4 = (l x b) +
Area of rectangle 5 = (b x h) +
Area of rectangle 6 = (b x h)
=2(l x b) + 2(b x h) + 2(l x h)
=2(lb + bh + hl)

6. h
Base area = l x b
Height = h
So, Volume of a cuboid
b
=lxbxh
l

7. Closed cube and Open cube
5
1 2 3 4
6

8. Area of square 1 = a xa
Area of square 2 = a xa
Area of square 3 = a xa
Area of square 4 = a xa
Area of square 5 = a xa
Area of square 6 = a xa
Surface area = Area of all six faces
= 6a2

10. a
Base area =
a Height = a
a
So, Volume of a cube
= a3

13. CURVED SURFACE AREA OF A CYLINDER
Circular Curved
surfaces surface area
Area of curved surface + Area of two circular surfaces
=(2 π r) x( h) + 2 π r2
= 2 π r( h+ r)

15. Area of circular base =
π r2
Height = h
So, Volume of a
cylinder
= π r2 x h

16. l
l
r

17. l
After cutting the cone, θ
Curved surface area = Area of the sector r

19. l
+
r
l
r
Total surface area =π r2 + π r l

21. r
r
h h

22. 3( volume of cone) =
volume of cylinder
3( V ) = π r2h
V = 1/3 π r2h