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Find out the correct option.

The volume of a rectangular box (cuboid) with length $= 2 ab$ , breadth $= 3 ac$ and height $= 2 ac$ i

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12 a^{2} b c^{2}

12 a^{3} b c^{2}

12 a^{2} bc

2 ab + 3 ac + 2 ac

answer is B.

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Detailed Solution

It is given that the length, breadth and height of the rectangular box are 2ab, 3ac and 2ac respectively.
Since, given box is in the shape of cuboid and,
Volume of Cuboid

= Length \times Breadth \times Height

Then, Volume of Box

= 2 ab \times 3 ac \times 2 ac

⟹

Volume of Box

= 12 a^{3} b c^{2}

Hence, option (2) is correct.

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