M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
A cuboidal lead solid is given with dimensions
You have to find that how many shots each having diameter 3 cm can be made from it.
This is the Question Number 19, Exercise 17.5 of M.L Aggarwal.
Deepak BoraNewbie
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm x 11 cm x 12 cm?
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Given dimensions of the cuboidal solid = 9 cm× 11 cm× 12 cm
Volume of the cuboidal solid = 9×11×12 = 1188 cm3
Diameter of shot = 3 cm
So radius of shot, r = 3/2 = 1.5 cm
Volume of shot = (4/3)r3
= (4/3)×1.53
= (4/3)×(22/7)×1.53
= 297/21 cm3
Number of shots made from cuboidal lead of solid = 1188÷(297/21)
= 1188×21/297
= 84
Hence the number of shots made from cuboidal lead of solid is 84.