How many lead shots each 0.3 cm in diameter can be made from a cuboid of dimensions .09 m * .11 m * .12 m ?

Question

A cuboid with sides in the ratio of 8:5:6 is cut perpendicular its length to form three smaller cuboids of equal sides.
If sum of the surface areas of all three cuboids is 1080 cm2 is more than the surface area of original cuboid, then what is the volume of original cuboid (in cm2)?

Answer 1

Number of lead shots = Volume of sphere / volume of 1 lead
solve 9*11*12 cm^3 / (4/3 * 22/7 * (.03/2)^3

So ans is 84000

Answer 2

if by melting process (.09*.11*.12)/((1/3)*4*pi*.003^3)=10504

Comments

Lead shot is .3 cm in dia not radius. Do you like to correcting it ...

Number of lead shots = Volume of sphere / volume of 1 lead
solve 9*11*12 cm^3 / (4/3 * 22/7 * (.03/2)^3

So ans is 84000