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The volume of a large cube is twice the volume of a small cube. If the

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Bunuel
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The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   27 Nov 2018, 00:22
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The volume of a large cube is twice the volume of a small cube. If the length of an edge of the small cube is 2, what is the length of an edge of the large cube?


A. 4

B. 8

C. \(2\sqrt[3]{2}\)

D. \(4\sqrt[3]{2}\)

E. \(8\sqrt[3]{2}\)
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Archit3110
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The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   Updated on: 27 Nov 2018, 10:25
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Bunuel wrote:
The volume of a large cube is twice the volume of a small cube. If the length of an edge of the small cube is 2, what is the length of an edge of the large cube?


A. 4

B. 8

C. \(2\sqrt[3]{2}\)

D. \(4\sqrt[3]{2}\)

E. \(8\sqrt[3]{2}\)



Volume of small cube 2^3= 8
Vol of large cube : 8*2= 16 as its twice of small cube volume ' given'
side of large cube (16)^1/3
which would be 2^ 4
or 2*(2)^1/3 option C

Originally posted by Archit3110 on 27 Nov 2018, 09:57.
Last edited by Archit3110 on 27 Nov 2018, 10:25, edited 1 time in total.
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Re: The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   27 Nov 2018, 10:44
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dave13 wrote:
Archit3110


if say volume is 8, then side would be 2, right ?


dave13 : YES as volume of cube is a^3 ; so here if volume is 8 so side would be ( 8)^1/3 which is 2 ..
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Re: The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   27 Nov 2018, 10:22
Archit3110 wrote:
Bunuel wrote:
The volume of a large cube is twice the volume of a small cube. If the length of an edge of the small cube is 2, what is the length of an edge of the large cube?


A. 4

B. 8

C. \(2\sqrt[3]{2}\)

D. \(4\sqrt[3]{2}\)

E. \(8\sqrt[3]{2}\)



Volume of small cube 2^3= 8
Vol of large cube : 8*16
side of large cube (16)^1/3
which would be 2^ 4
or 2*(2)^1/3 option C


Archit3110

8*16 = 128 after this how did u get this ---> \(16^{\frac{1}{3}}\)
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Archit3110
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The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   27 Nov 2018, 10:24
dave13 wrote:
Archit3110 wrote:
Bunuel wrote:
The volume of a large cube is twice the volume of a small cube. If the length of an edge of the small cube is 2, what is the length of an edge of the large cube?


A. 4

B. 8

C. \(2\sqrt[3]{2}\)

D. \(4\sqrt[3]{2}\)

E. \(8\sqrt[3]{2}\)



Volume of small cube 2^3= 8
Vol of large cube : 8*16
side of large cube (16)^1/3
which would be 2^ 4
or 2*(2)^1/3 option C


Archit3110

8*16 = 128 after this how did u get this ---> \(16^{\frac{1}{3}}\)



dave13 : did an error :-o
Volume of small cube 2^3= 8
Vol of large cube : 8*2 = 16 as its twice of small cube volume ' given'
side of large cube (16)^1/3
which would be 2^ 4
or 2*(2)^1/3 option C
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Re: The volume of a large cube is twice the volume of a small cube. If the [#permalink] New post   27 Nov 2018, 10:42
Archit3110


if say volume is 8, then side would be 2, right ?
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Re: The volume of a large cube is twice the volume of a small cube. If the [#permalink]
27 Nov 2018, 10:42
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