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SSC CGL Tier II PYP >> Oct 26, 2023 >> Mathematical Abilities

Question :

The ratio of the length, width and height of a closed cuboid is given as 6 : 3 : 2. The total surface area of this cuboid is given as 1800 cm². Find the volume (in cm³) of this cuboid.

1. 4650

2. 4500

3. 4200

4. 4800

Correct Answer : 2

Solution :

Let length, width and height of a closed cuboid is 6x, 3x, and 2x respectively.

Total surface area of cuboid = 1800 cm²

2 * [6x * 3x + 6x * 2x + 3x * 2x] = 1800

18x² + 12x² + 6x² = 900

36x² = 900

x² =25

x = 5

Volume of cuboid = 6x * 3x * 2x = 36x³

= 36 * 125

= 4500 cm³

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