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Question

# The volume of cuboidal box having length, breadth and height as (a+b),(a2+b2) and 2a units respectively is ___

A
(2a4+2a2b2+2a3b+2ab3) units
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B
(2a4+6a2b2+2a3b+2ab3) units
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C
(2a4+2a2b2+2a3b+ab3) units
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D
(2a4+2a2b22a3b+2ab3) units
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Solution

## The correct option is A (2a4+2a2b2+2a3b+2ab3) unitsVolume of the cuboidal box = l x b x h, Given l = (a+b) units, b = (a2+b2) units and h = 2a units Volume = (a+b) x (a2+b2) x 2a Now, (a+b) x (a2+b2) = a3+ab2+ba2+b3 ⇒ (a3+ab2+ba2+b3) x 2a = 2a4+2a2b2+2a3b+2ab3 units

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