This document contains formulas for calculating the surface areas and volumes of basic 3D shapes like cubes, cuboids, cylinders, cones, spheres, and hemispheres. For cubes, the surface area is calculated as 6a^2 and the volume as a^3, where a is the length of an edge. For cuboids, the lateral surface area is calculated as 2(bhl + bhl + hbl) and the total surface area as 2(bhl + bhl + hbl) + 2(lbh). The volume of a cuboid is calculated as hbl. Formulas are also provided for calculating the curved surface area, total surface area, and volume of cylinders, cones, spheres,

1. MADE BY – PUNEET VERMA

2. C U B E
a
a
a
a
a
a
a a
a
SURFACE AREA OF CUBE
2
6a
a)6(a
a)(aa)(aa)(aa)(aa)(aa)(a



LATERAL SURFACE AREA OF CUBE
2222
4)aa(6a a
3
aVOLUME OF CUBE VOLUME = BASE AREA HEIGHT

3. C U B O I D
LATERAL SURFACE AREA OF CUBOID :-
hbl
hbhl
hbhbhlhl
)(2
)()(2
)()()()(



TOTAL SURFACE AREA OF CUBOID :-
)2(
)(2)(2)(2
)()()()()()(
hlbhlb
lhhbbl
lhhbbllhhbbl



VOLUME OF CUBOID:- hbl 
VOLUME = BASE AREA HEIGHT
l
b
h
h
bl
l
h
b
b
l

4. RIGHT CIRCULAR CYLINDER
rh2
hr2CylinderofareasurfacecurvedSo
r2rradiuswithcircleofperimeterknowWe






CURVED SURFACE AREA OF CYLINDER:-
TOTAL SURFACE AREA OF CYLINDER:-
)(2
22cylinderofareasurfaceTotal
2circlestwoofArea
2cylinderofareasurfaceCurved
2
2
hrr
rrh
r
rh








hr
hr
2
2



VOLUME OF CYLINDER:-

5. C O N E
CURVED SURFACE AREA OF CONE rl
TOTAL SURFACE AREA OF CONE :-
)(AreaSurfaceTotal
AreaSurfaceCurved
circleofArea 2
rlr
rl
r






VOLUME OF CONE hr2
3
1


6. S P H E R E
SURFACE AREA OF SPHERE :-
Surface area of sphere = 4 times the area of circle
= 4 2
r
VOLUME OF SPHERE
3
3
4
r

7. H E M I S P H E R E
circleareathetwicehemisphereofareasurfaceCurved 
CURVED SURFACE AREA OF HEMISPHERE :-
2
2
2
r2
r



TOTAL SURFACE AREA OF HEMISPHERE :-
circleareathethriceHemisphereofareasurfaceTotal 
2
2
3
r3
r



VOLUME OF HEMISPHERE
3
3
2
r