Question

The dimensions of a cuboid are 35 cm × 30 cm × 25 cm. If Amit cuts a cube of greatest volume, then the volume of the cube is

• A. $42875c{m}^3$
• B. $15625c{m}^3$
• C. $27000c{m}^3$
• D. $3375c{m}^3$

Answer 1

The correct option is B $15625c{m}^3$

Given that the dimensions of cuboid are 35 cm × 30 cm × 25 cm.

Since the lowest side is 25 cm so, the greatest cube can be of side 25 cm.

$\therefore$ Volume of the cube = ${\text{(Side)}}^3$

= 25 × 25 × 25

$=15625c{m}^3$

Hence, the correct answer is option (b).