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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) units

Volume 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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