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The length and breadth of a cuboidal store are in the ratio 3 : 2 and its height is 3.5 metres. If the area of its four walls (including doors) is 420 m2, then what is the volume of the cuboidal store?

The length and breadth of a cuboidal store are in the ratio 3 : 2 and its height is 3.5 metres. If the area of its four walls (including doors) is 420 m2, then what is the volume of the cuboidal store? Correct Answer 3024 m<sup>3</sup>

Formula used:

The area of the four walls = 2 (l + b) × h

The volume of the cuboid = l × b × h

Here, l → Length, b → Breadth, h → Height

Calculation:

Let the length and breadth of the cuboidal store is 3x and 2x respectively

Height of the cuboidal store h = 3.5

According to the question

Area of four wall = 2 (l + b) × h

2 (l + b) × h = 420

⇒ (3x + 2x) × 3.5 = 210

⇒ 3.5 × 5x = 210

⇒ 17.5x = 210

⇒ x = 210/17.5

⇒ 12

The length of the cuboidal store = 12 × 3 = 36 m

The length of the cuboidal store = 12 × 2 = 24 m

The volume of the cuboidal store = 36 × 24 × 3.5 = 3024 m3

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