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# What is the volume of Cube A?

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Math Expert
Joined: 02 Sep 2009
Posts: 53007
What is the volume of Cube A?  [#permalink]

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24 Jan 2019, 03:53
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:49) correct 20% (00:42) wrong based on 53 sessions

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What is the volume of Cube A?

(1) The surface area of a sphere inscribed in Cube A is $$100\pi$$ m^2
(2) The diameter of a sphere circumscribing Cube A is $$10\sqrt{3}$$

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Re: What is the volume of Cube A?  [#permalink]

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24 Jan 2019, 04:52
Bunuel wrote:
What is the volume of Cube A?

(1) The surface area of a sphere inscribed in Cube A is $$100\pi$$ m^3
(2) The diameter of a sphere circumscribing Cube A is $$10\sqrt{3}$$

#1
surface area of sphere = 4* pi * r^2
4* pi * r^2 = 100 pi
r = 5 ; d = 10 sqrt3
side of cube can be determined ; sufficient
digonal of cube = s sqrt3

#2
given diameter = 10 sqrt 3
sufficeint

IMO D
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Joined: 08 Aug 2017
Posts: 325
Re: What is the volume of Cube A?  [#permalink]

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24 Jan 2019, 16:28
I think, exponent of m in statement is error. It must be m^2, not m^3 because the unit of surface area is m^2.
Please edit if I am correct.

Bunuel wrote:
What is the volume of Cube A?

(1) The surface area of a sphere inscribed in Cube A is $$100\pi$$ m^3
(2) The diameter of a sphere circumscribing Cube A is $$10\sqrt{3}$$
Math Expert
Joined: 02 Sep 2009
Posts: 53007
Re: What is the volume of Cube A?  [#permalink]

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24 Jan 2019, 20:56
gvij2017 wrote:
I think, exponent of m in statement is error. It must be m^2, not m^3 because the unit of surface area is m^2.
Please edit if I am correct.

Bunuel wrote:
What is the volume of Cube A?

(1) The surface area of a sphere inscribed in Cube A is $$100\pi$$ m^3
(2) The diameter of a sphere circumscribing Cube A is $$10\sqrt{3}$$

________________
Edited. Thank you.
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Re: What is the volume of Cube A?   [#permalink] 24 Jan 2019, 20:56
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