Quantitative Aptitude Free-Study Notes
18.
VOLUME AND SURFACE AREA
A.
CUBOID
1.
Let length = l , breadth = b and height = h units. Then,
B.
CUBE
1.
Let each edge of a cube be of length a. Then,
C.
CYLINDER
1.
Let radius of base = r and Height (or length) = h. Then,
D.
CONE
1.
Let radius of base = r and Height = h. Then,
E.
SPHERE
1.
Let the radius of the sphere be r. Then,
F.
HEMISPHERE
1.
Let the radius of a hemisphere be r. Then,
2.
Volume = (l x b x h) cubic units.
3.
Surface area= 2(lb + bh + lh) sq.units.
4.
Diagonal.=√l2 +b2 +h2 units
2.
Volume = a3 cubic units.
3.
Surface area = 6a2 sq. units.
4.
Diagonal = √3 a units.
2.
Volume = (π r2h) cubic units.
3.
Curved surface area = (2πrh). units.
4.
Total surface area =2πr (h+r) sq. units
2.
Slant height, l =√ h2+r2
3.
Volume = (1/3) π r2h cubic units.
4.
Curved surface area = (πrl) sq. units.
5.
Total surface area = (πrl + π r2) sq. units.
2.
Volume = (4/3) πr3 cubic units.
3.
Surface area = (4 πr2) sq. units.
2.
Volume = (2/3) πr3 cubic units.
3.
Curved surface area = (2 πr2) sq. units.
4.
Total surface area = (3 πr2) units.
Remember: 1 litre = 1000 cm3.