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26 Jun 2018, 20:56
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (00:56) correct
13%
(00:51)
wrong
based on 67
sessions
History
Date
Time
Result
Not Attempted Yet
If the volume of a cube is v, what is the surface area of the cube in terms of v?
A. \(6 \sqrt{V}\)
B. \((\sqrt{V})^3\)
C. \(6 * (\sqrt{V})^3\)
D. \((\sqrt[3]{V})^2\)
E. \(6 * (\sqrt[3]{V})^2\)
A. \(6 \sqrt{V}\)
B. \((\sqrt{V})^3\)
C. \(6 * (\sqrt{V})^3\)
D. \((\sqrt[3]{V})^2\)
E. \(6 * (\sqrt[3]{V})^2\)
globaldesi
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26 Jun 2018, 21:48
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The volume of cube = \(a^3\), where a is the side of cube
Thus \(a^3\) = V.
hence \(a= V^1/3\).
Surface area(S.A)= \(6 a^2\).
Thus S.A = \(6∗V^(2/3)\)
Ans E
Thus \(a^3\) = V.
hence \(a= V^1/3\).
Surface area(S.A)= \(6 a^2\).
Thus S.A = \(6∗V^(2/3)\)
Ans E
26 Jun 2018, 22:01
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Solution
Given:
- • The volume of a cube is V
To find:
- • The surface area of the cube, in terms of V
Approach and Working:
If we assume the length of each side of the cube is x, then
- • Volume \(V = x^3\)
Or, \(x = V^\frac{1}{3}\)
- • Surface area of the cube = \(6x^2 = 6 * V^\frac{2}{3}\) = \(6 * (\sqrt[3]{V})^2\)
Hence, the correct answer is option E.
Answer: E
