CUBOID
» Let length = l, breadth = b and height = h units. Then

i. Volume (V) = l x b x h

ii. Surface area (A) = 2(lb + bh + lh)

iii. Diagonal = sqrt{l^2 + b^2 + h^2}


CUBE
» Let length of each edge of a cube be a. Then,

i. Volume (V) = a3

ii. Surface area (A) = 6a2

iii. Diagonal =  a\sqrt{a}


CYLINDER
» Let radius of base = r and Height (or length) = h. Then,
i. Volume (V) = πr2h
ii. Curved surface area (A) = 2π rh
iii. Total surface area (S)= 2 πr(h + r)


CONE
» Let radius of base = r and Height = h. Then,
i. Slant height (l) =
ii. Volume (V) = πr2h
iii. Curved surface area = πrl
iv. Total surface area = πrl + πr2


SPHERE
» Let the radius of the sphere be r and d is diameter. Then,
i. Volume (V) = πr3
ii. Surface area (A) = 4πr2 = πd2


KITE
» Let d1 and d2 be two diagonal of the kite. Then
Area of kite (A) = d1×d2


HEMISPHERE
» Let the radius of a hemisphere be r. Then,
i. Volume (V) = πr3
ii. Curved surface area (A) = 2πr2
iii. Total surface area = 3πr2
Note: 1 litre = 1000 cm3.

Last modified: Friday, 8 May 2026, 7:32 AM