Mathematics
JAMB 1979
What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
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A.
\(\sqrt{2239cm}\)
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B.
\(\sqrt{2}\) x 2239cm
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C.
\(\frac{\sqrt{3}}{2}\) 2239cm
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D.
\(\sqrt{3}\) x 2239cm
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E.
4478cm
Correct Answer: Option D
Explanation
x = \(\sqrt{-2239^2 + 2239^2}\)
= -\(\sqrt{10026242}\)
= 3166.42
y = -\(\sqrt{10026242 + 5013121}\)
= -\(\sqrt{15039363}\)
= 3878
= \(\sqrt{3}\) x 2239
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