Question

If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?

Answer 1

Answer:

it weighs 0.25 kg.

Step-by-step explanation:

Let original dimensions be L, B and H.

Volume of cuboid = LBH

=> 16 kg = LBH

All dimensions are reduced to one fourth ( given )

l = L/4

b = B/4

h = H/4

New weight :

=> L/4 × B/4 × H/4

=> LBH × 1/64

=> 16/64

=> 0.25 kg

Therefore, it weighs 0.25 kg.

Answer 2

Let the dimensions of the bigger cuboid be  x,y and z.

Then , volume of the bigger cuboid = x*y*z

Volume of the miniature cuboid = (1/4*x)(1/4*y)(1/4*z) = 1/64 * x*y*z

∴  Weight of the miniature cuboid = (1/64×16) kg = 0.25 kg .