Practice30Create account

The dimensions of a cuboid are in the ratio 2 : 3 : 6 and its volume is . Find the length of its space diagonal in cm.

Competition practiceAreas & Volumes
  • A12
  • B16
  • C22
  • D14

Step-by-Step Solution

Let the dimensions be and . Then gives and , so the cuboid is 4 cm by 6 cm by 12 cm. Diagonal = √ = √196 = 14 cm.
Answer: D) 14

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Areas & Volumes practice questions

More Areas & Volumes practice

The areas of three adjacent faces of a cuboid are 15 cm², 20 cm² and 12 cm². Find its…A toy is a cone mounted on a hemisphere, both of radius 3.5 cm. The total height of the…A solid is a cylinder of radius 7 cm with a hemisphere of the same radius fixed at each…A model rocket is a cone standing on a cylinder, both of radius 7 cm. The cylinder is 20…A hemispherical hollow of the largest possible diameter is scooped out of one face of a…