VOLUME AND SURFACE AREA -

I. CUBIOD Let length = l, breadth = b and height = h units. Then, 1. Volume = (l x b x h) cubic units. 2. Surface area = 2 (lb + bh + lh)

II. CUBE Let each edge of a cube be of length a. Then, 1. Volume = aÂ³ cubic units. 2. Surface area = 6aÂ² sq. units. 3. Diagonal = âˆš3 a units.

III. CYLINDER Let radius of base = r and Height (or length) = h Then, 1. Volume = (Î rÂ²h) cubic units. 2. Curved surface area = (2Î rh) sq. units. 3. Total surface area = (2Î rh + 2Î rÂ² sq. units) = 2Î r (h + r) sq. units.

IV. CONE Let radius of base = r and Height = h. Then, 1. Slant height, l = âˆšhÂ² + r Â² units. 2. Volume = [1/3 Î rÂ²h] cubic units. 3. Total surface area = (Î rl + Î rÂ²) sq.units.

V. SPHERE Let the radius of the sphere be r. Then, 1. Volume = [4/3 Î r3] cubic units. 2. Surface area = (4Î rÂ²) sq. units.

VI. HEMISPHERE Let the radius of a hemisphere be r. Then, 1. Volume = [2/3 Î r3] cubic units. 2. Curved surface area = (3Î rÂ²) sq. units. 3. Total surface area = (3Î rÂ²) sq. units. Remember : 1 litre = 1000 cmÂ³.

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