This document provides formulas for calculating the surface area and volume of basic geometric shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It lists the formulas for total surface area and lateral surface area where applicable. Similarly, it provides the formulas for calculating the volume of each shape. The shapes covered are among the most common for which surface area and volume are calculated in math, science, and engineering applications.

1. SURFACE AREA
AND VOLUME..

2. CONTENTS
 Cube
 Cuboid
 cylinder
 Cone
 Sphere
 Hemisphere
 frustum

4. SURFACE AREA OF CUBE
Total surface area of cube- 6(side)²
Lateral surface area of cube-4(side)²

5. VOLUME OF CUBE
Volume of cube-
(side)³

7. SURFACE AREA OF CUBOID
Total Surface Area Of cuboid =
2(lb+bh +lh)
Lateral Surface of Cuboid:
2(l+b)h

8. VOLUME OF CUBOID
volume of cuboid –
l*b*h

10. SURFACE AREA OF CYLINDER
Curved surface area: 2Пrh
Total surface area: Пrh +2Пr2
=2Пr(h+r)

11. VOLUME OF CYLINDER…
Volume of a cylinder: Пr2h

13. SURFACE AREA OF CONE…
Total surface area of cone-
∏r(l+r)
Lateral surface area of cone-
∏rl

14. VOLUME OF CONE….
Volume of cone-1/3 Пr²h

16. SURFACE AREA OF SPHERE…
Surface area of a
sphere: 4Пr2

17. VOLUME OF SPHERE

19. SURFACE AREA OF
HEMISPHERE…
Total surface area of a hemisphere:
3Пr 2
Curved surface area of a hemisphere:
2Пr 2

20. VOLUME OF
HEMISPHERE…
Volume of A cube:
2/3 Пr 3

22. SURFACE AREA OF
FRUSTUM…
Total Surface Area Of A Frustum:
П(r+R)l + Пr 2 + ПR 2
=П(r+R)l + П(r 2+ R2)
Curved Surface Area Of A Frustum:
П(r+R)l

23. VOLUME OF
FRUSTUM..
Volume Of A Frustum:
1/3 Пh(r 2+R 2+Rr)

24. Thank
you…