The length of each side of a cube is 24 cm The volume of the cube is equal to the volume of a cuboid...........

Quantitative Aptitude (MTS) Mensuration 3D

The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the

height of the cuboid are 32 cm and 12 cm, respectively, then what will be ihe lengTh of the cuboid?

This questions was previously asked in

SSC MTS 15th July 2022 Shift-2

36 cm

56 cm

48 cm

42 cm

- The cube has a side length of 24 cm.

- To find the cube's volume, calculate \(24 \times 24 \times 24 = 13,824 \) cubic cm.

- The cuboid has a breadth of 32 cm and height of 12 cm.

- Its volume is length \( \times \) breadth \( \times \) height.

- Set the cube's volume equal to the cuboid's volume.

- Calculate the cuboid's length \( L \) using: \( L \times 32 \times 12 = 13,824 \).

- Solve for \( L \): \( L = \frac{13,824}{32 \times 12} = 36 \) cm.

Correct Answer: Option 1: 36 cm

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