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# The height of a rectangular 3D figure is increased by p per

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The height of a rectangular 3D figure is increased by p per [#permalink]  05 Jun 2017, 02:36
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The height of a rectangular 3D figure is increased by p percent, its depth is decreased by p percent and its width is unchanged.

 Quantity A Quantity B The volume of the new 3D figure if p = 20 The volume of the new 3D figure if p = 40

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The height of a rectangular 3D figure is increased by p per [#permalink]  11 Oct 2017, 05:41
The volume of a 3d rectangular figure is height*depth*width.

Then, if p = 20, the volume is (1+0.02)*h*(1-0.02)*d*w
If p= 40, instead, the volume is (1+0.04)*h*(1-0.04)*d*w

Simplifying the two expression getting rid of the letters, we remain with the comparison between 1.2*0.8 = 0.96 and 1.4*0.6 = 0.84.

Quantity A is greater!
Re: The height of a rectangular 3D figure is increased by p per   [#permalink] 11 Oct 2017, 05:41
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