1. The height of a square based pyramid is 33 cm. if the base is 27 cm. find the volume.

Solution:

Volume of  pyramid = ¹/₃ Bh = ¹/₃ x a² x h

= ¹/₃ x 27 x 27 x 33

= 9  x 27  x 33

= 8019 cc

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2. If the area of base of a rectangular based pyramid is 60 m2 and its ht is 7.5m. find the volume.

Solution:

A  of base  = 60m²

h = 7.5 m

V   = ¹/₃ Bh = ¹/₃ x 60 x 7.5

= 150 cc

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3. The height of a square pyramid of vol. 300 cc. is 10 cm. find the edge of the base.

Solution:

h = 10 cm

V = 300 cc

a = ?

V = ¹/₃ Bh = ¹/₃ a²h

300 = ¹/₃ x a² x h

^300×3/₁₀  = a²

a² = 90

a = √90 = 3√10 cm

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