How many lead shots, each 3mm in diameter, can be made from a cuboid with dimensions `(12 cm xx 11 cm xx 9 cm)` ?

Answer

84000

Explanation

Volume of 1 lead shot `= ((4)/(3) xx (22)/(7) xx (3)/(20) xx (3)/(20) xx (3)/(20)) cm^(3) = (99)/(7000) cm^(3)`
Volume of cuboid `= (12 xx 11 xx 9) cm^(3)`
Number of lead shots `= ("volume of the cuboid")/("volume of 1 lead shot")`