Volume & Surface Areas Important Formulas - Aptitude Questions and Answers

The term 'Volume' refers to the space occupied by the figure in 'three dimensions'. (e.g) cube, cuboid, cone, cylinder, sphere etc.

Volume of a combination of solids

The volume of the solid formed by joining two basic solids will actually be the sum o the volumes of the constituents.

Total Surface Area

The total surface area of a solid is the sum of the curved surface area + the sum of the area of the smooth surface.

Figure

Volume

Surface Area

Others

Room or a rectangular solid

L x B x H

2(LB + LH + BH)

a) Area of 4 walls = 2(L + B) x H

b) Diagonal =

L² + B² + H²

Cube

Side³

6 x Side²

a) Diagonal =

x side

b) Sum of edges =

12 x side

Right Circular Cylinder

r²h

a) of sides = 2

b) total surface = 2

r (r + h)

Sphere

r³

r²

Cone

r²h

a) of sides =

b) total surface =

r²+

(l = => slant ht.)

a) h² + r² = l²