# Aptitude - Volume and Surface Area

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### Overview

• Important Formulas

### Exercise

"Nothing in life is to be feared, it is only to be understood."
- Marie Curie
 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 = l2 + b2 + h2 units. CUBE Let each edge of a cube be of length a. Then, Volume = a3 cubic units. Surface area = 6a2 sq. units. Diagonal = 3a units. CYLINDER Let radius of base = r and Height (or length) = h. Then, Volume = (r2h) 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 = h2 + r2 units. Volume = r2h cubic units. Curved surface area = (rl) sq. units. Total surface area = (rl + r2) sq. units. SPHERE Let the radius of the sphere be r. Then, Volume = r3 cubic units. Surface area = (4r2) sq. units. HEMISPHERE Let the radius of a hemisphere be r. Then, Volume = r3 cubic units. Curved surface area = (2r2) sq. units. Total surface area = (3r2) sq. units. Note: 1 litre = 1000 cm3.