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What is the volume of cube whose total surface area is 54 ?

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What is the volume of cube whose total surface area is 54 ? [#permalink] New post 03 May 2017, 02:41
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Question Stats:

93% (00:29) correct 6% (04:45) wrong based on 15 sessions


What is the volume of cube whose total surface area is 54?

Enter your value

[Reveal] Spoiler: OA
27

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Re: What is the volume of cube whose total surface area is 54 ? [#permalink] New post 10 May 2017, 13:19
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Carcass wrote:


What is the volume of cube whose total surface area is 54?

Enter your value

[Reveal] Spoiler: OA
27


A cube has 6 faces, so the surface area of ONE face = 54/6 = 9

Each face of a cube is a square, so let's let x = the length of one side of that square

The area of a square = (side length)²

If the area of ONE face = 9, then we can write x² = 9, which means x = 3
So, each side of the cube has length 3

Volume of a cube = (side length)³ = (3)³ = 27

Answer:
[Reveal] Spoiler:
27


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Brent
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Re: What is the volume of cube whose total surface area is 54 ?   [#permalink] 10 May 2017, 13:19
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What is the volume of cube whose total surface area is 54 ?

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