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If each of the edges of a cube increases by a factor of 2, the surface
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02 Apr 2024, 23:16
02 Apr 2024, 23:16
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If each of the edges of a cube increases by a factor of 2, the surface area of the resulting cube will be how many times the surface area of the original cube?
A. 2
B. 4
C. 6
D. 8
E. 36
A. 2
B. 4
C. 6
D. 8
E. 36
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Re: If each of the edges of a cube increases by a factor of 2, the surface
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09 May 2024, 11:34
09 May 2024, 11:34
1
Let x = the length of an edge of the cube.
The surface area of the cube is \(6x^2\).
After increasing by a factor of 2, the new length of each edge is 2x.
The surface area of the new cube is \(6(2x)^2 = 6 * 4x^2 = 24x^2\).
\(24x^2 / 6x^2 = 4\)
The surface area of the cube is \(6x^2\).
After increasing by a factor of 2, the new length of each edge is 2x.
The surface area of the new cube is \(6(2x)^2 = 6 * 4x^2 = 24x^2\).
\(24x^2 / 6x^2 = 4\)
gmatclubot
Re: If each of the edges of a cube increases by a factor of 2, the surface [#permalink]
09 May 2024, 11:34
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