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A cube and a rectangular solid are equal in volume. If the lengths of

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

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New post 08 Jan 2019, 05:14
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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New post 08 Jan 2019, 05:25
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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Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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New post 08 Jan 2019, 06:00
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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Re: A cube and a rectangular solid are equal in volume. If the lengths of  [#permalink]

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New post 18 Jan 2019, 00:25
Geometric mean.
3√(\(2^2·2^3·2^4\))=\(2^{9/3}\)=\(2^3\)=8
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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

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