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The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 2. Calculate the volume of the box.

User Santosh B
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1 Answer

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Answer:

6x^3 +22x^2 +24x +8

Explanation:

The dimensions of the larger box are ...

(x+2), (2x+2), and (3x+2)

The volume is the product of these dimensions.

V = LWH

V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)

V = 6x^3 +22x^2 +24x +8

The volume of the box is 6x^3 +22x^2 +24x +8.

User Damian Antonowicz
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