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CUBOID
Let length = l, breadth = b and height = h units. Then
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Volume = (l x b x h) cubic units.
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Surface area = 2(lb + bh + lh) sq. units.
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Diagonal = l2 + b2 + h2 units.
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CUBE
Let each edge of a cube be of length a. Then,
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Volume = a3 cubic units.
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Surface area = 6a2 sq. units.
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Diagonal = 3a units.
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CYLINDER
Let radius of base = r and Height (or length) = h. Then,
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Volume = (r2h) cubic units.
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Curved surface area = (2rh) sq. units.
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Total surface area = 2r(h + r) sq. units.
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CONE
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Let radius of base = r and Height = h. Then,
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Slant height, l = h2 + r2 units.
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Volume = r2h cubic units.
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Curved surface area = (rl) sq. units.
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Total surface area = (rl + r2) sq. units.
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SPHERE
Let the radius of the sphere be r. Then,
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Volume = r3 cubic units.
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Surface area = (4r2) sq. units.
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HEMISPHERE
Let the radius of a hemisphere be r. Then,
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Volume = r3 cubic units.
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Curved surface area = (2r2) sq. units.
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Total surface area = (3r2) sq. units.Note: 1 litre = 1000 cm3.
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