Multiple Choice Questions

A wooden piece in the shape of a cuboid is divided into five equal parts by cutting it with four cut...........

Quantitative Aptitude (MTS) Mensuration 2D

A wooden piece in the shape of a cuboid is divided into five equal parts by cutting it with four cuts perpendicular to its

length,and it turns out that each picece is a cube of volume 27 cm³ . That is the total surface area (in cm²) of the cuboid?

This questions was previously asked in

SSC MTS 12th October 2021 Shift-2

150

174

216

198

- The original wooden piece is a cuboid divided into five equal cubes.

- Each cube has a volume of 27 cm³.

- The side of each cube can be found using the formula for volume of a cube, $s^{3} = 27$ , so $s = 3$ cm.

- Each cube has a side length of 3 cm, and the cuboid is made of 5 cubes in length.

- The cuboid's dimensions are $3 cm (width) \times 3 cm (height) \times 15 cm (length)$ .

- The formula for the cuboid's surface area is $2 (l w + l h + w h)$ .

- Substitute the dimensions: $2 (15 \times 3 + 15 \times 3 + 3 \times 3) = 2 (45 + 45 + 9) = 2 \times 99 = 198 {cm}^{2}$ .

- The correct answer is Option 4: 198.

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