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08 Sep 2020, 01:30
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D
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Difficulty:
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74% (01:29) correct
26%
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A diameter of a figure is defined as a maximum distance AB where points A, B belong to the figure. For example, the diameter of the parallelogram is the parallelogram's longer diagonal. If the diameter of the cube is 3, what is the area of the surface of the cube?
A. 3
B. 6
C. \(6\sqrt{3}\)
D. 18
E. \(12\sqrt{3}\)
M24-17
A. 3
B. 6
C. \(6\sqrt{3}\)
D. 18
E. \(12\sqrt{3}\)
M24-17
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09 Sep 2020, 01:30
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Bunuel
OFFICIAL EXPLANATION
If \(x\) is the length of the edge of the cube, the diameter of the cube is \(\sqrt{x^2 + x^2 + x^2} = 3\). From this equation, \(x = \sqrt{3}\). The area of the surface \(= 6(\sqrt{3})^2 = 18\).
Answer: D
General Discussion
yashikaaggarwal
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08 Sep 2020, 01:44
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Diameter = longest distance between two points in any solid figure
The longest distance in a cube is said to be S√3 (√S^2+S^2+S^2)
S√3 = 3
S = √3
Area of cube = 6*SIDE^2
=> 6*(√3)^2
=> 6*3
=> 18
Answer is D
Posted from my mobile device
The longest distance in a cube is said to be S√3 (√S^2+S^2+S^2)
S√3 = 3
S = √3
Area of cube = 6*SIDE^2
=> 6*(√3)^2
=> 6*3
=> 18
Answer is D
Posted from my mobile device
