Aptitude  Volume and Surface Area




OverviewExercise"No one is as deaf as the man who will not listen."
 (Proverb)


CUBOID
Let length = l, breadth = b and height = h units. Then
Volume = (l x b x h) cubic units.
Surface area = 2(lb + bh + lh) sq. units.
Diagonal = l^{2} + b^{2} + h^{2} units.

CUBE
Let each edge of a cube be of length a. Then,
Volume = a^{3} cubic units.
Surface area = 6a^{2} sq. units.
Diagonal = 3a units.

CYLINDER
Let radius of base = r and Height (or length) = h. Then,
Volume = (r^{2}h) cubic units.
Curved surface area = (2rh) sq. units.
Total surface area = 2r(h + r) sq. units.

CONE
Let radius of base = r and Height = h. Then,
Slant height, l = h^{2} + r^{2} units.
Volume = r^{2}h cubic units.
Curved surface area = (rl) sq. units.
Total surface area = (rl + r^{2}) sq. units.

SPHERE
Let the radius of the sphere be r. Then,
Volume = r^{3} cubic units.
Surface area = (4r^{2}) sq. units.

HEMISPHERE
Let the radius of a hemisphere be r. Then,
Volume = r^{3} cubic units.
Curved surface area = (2r^{2}) sq. units.

Total surface area = (3r^{2}) sq. units.
Note: 1 litre = 1000 cm^{3}.

