Question

If a metallic cuboid weighs 16 kg, what would be the weight of the new cuboid of metal, if all dimensions are reduced to one – fourth of the original?

• A. 0.25 kg
• B. 0.50 kg
• C. 0.75 kg
• D. 1 kg
• E. 0.95 kg

Answer 1

The correct option is A

0.25 kg

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

Then, volume of the bigger cuboid = xyz.

Volume of the miniature cuboid $=\left(\frac{1}{4}x\right)\left(\frac{1}{4}y\right)\left(\frac{1}{4}z\right)=\frac{1}{64}xyz$

$\therefore$Weight of the miniature cuboid = $\left(\frac{1}{64}\times 16\right)kg=0.25kg$