Multiple Choice Questions

The capacity of a cuboidal tank is 12288 kilolitres Its length is 32 m and its breadth and height ar...........

Quantitative Aptitude (MTS) Mensuration 3D

The capacity of a cuboidal tank is 12288 kilolitres. Its length is 32 m, and its breadth and height are in the ratio of 3: 2. What is

the breadth (in m) of the tank?

This questions was previously asked in

SSC MTS 22nd October 2021 Shift-2

- The volume of the tank is given as 12288 kilolitres, which is equivalent to 12288 cubic meters.

- The formula for the volume of a cuboid is Length × Breadth × Height.

- We know the length (L) = 32 meters.

- Let the breadth (B) be 3x and the height (H) be 2x, according to the ratio 3:2.

- Substitute values into the volume formula: 32 × 3x × 2x = 12288.

- Simplifying gives: 192x² = 12288.

- Solve for x²: x² = 12288 / 192.

- x² = 64, so x = 8.

- The breadth (B) = 3x = 3 × 8 = 24 meters.

- Option 4: 24 is the correct answer.

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