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Math Expert V
Joined: 02 Sep 2009
Posts: 56304
A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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Difficulty:   15% (low)

Question Stats: 88% (01:09) correct 12% (01:59) wrong based on 40 sessions

### HideShow timer Statistics A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8, and 16, what is the length of an edge of the cube?

A. 4
B. 8
C. 12
D. 16
E. 64

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Posts: 4252
Location: India
Concentration: Sustainability, Marketing
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Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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Bunuel wrote:
A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8, and 16, what is the length of an edge of the cube?

A. 4
B. 8
C. 12
D. 16
E. 64

vol= 4*8*16 = 512
side of cube = (512)^1/3
= 8 IMO B
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Veritas Prep GMAT Instructor D
Joined: 16 Oct 2010
Posts: 9446
Location: Pune, India
Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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1
Bunuel wrote:
A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8, and 16, what is the length of an edge of the cube?

A. 4
B. 8
C. 12
D. 16
E. 64

Volume of a cube = Side^3
Volume of a rectangular solid = Length*Breadth*Height = 4*8*16 = 2^9

Given $$Side^3 = 2^9 = (2^3)^3 = 8^3$$

$$Side = 8$$
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Karishma
Veritas Prep GMAT Instructor

Senior Manager  P
Joined: 15 Feb 2018
Posts: 258
Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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Geometric mean.
3√($$2^2·2^3·2^4$$)=$$2^{9/3}$$=$$2^3$$=8 Re: A cube and a rectangular solid are equal in volume. If the lengths of   [#permalink] 18 Jan 2019, 00:25
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# A cube and a rectangular solid are equal in volume. If the lengths of  