Mensuration – Exercise 4.6.6 – Class IX

  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


  1. 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


  1. 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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