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Question

A rectangular block has 2 metres, 3 metres and 4 metres as length, width and height respectively. If the sides of the block are extended by the same length 'x 'metres, what will be the algebric expression for the new volume?


A

(x+2)(2x+3)(x+4) cubic metres

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B

(2x+2)(x+3)(x+4) cubic metres

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C

(x+2)(x+3)(x+4) cubic metres

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D

(x+2)(x+3)(2x+4) cubic metres

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Solution

The correct option is C

(x+2)(x+3)(x+4) cubic metres


The new length, width and height are:(x+2) m, (x+3) m and (x+4) m respectively

New volume =length×width×height

New volume=(x+2)(x+3)(x+4) cubic metres


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