A cuboid of dimensions 50 cm, 150 cm, and 175 cm can be divided into how many identical largest cubes?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 84.
The side length of the largest cube will be the HCF of the three dimensions of the cuboid.
HCF of 50, 175 and 150 = 25 cm
Volume of cuboid = n × Volume of cube
⇒ 50 × 175 × 150 = n × 253
⇒ 2 × 7 × 6 = n
⇒ n = 84
Hence, the cuboid can be divided into 84 identical largest cubes of side 25 cm each.