What is the greatest straight line distance between two vertices (corners) of a cube whose...

Mathematics

JAMB 1979

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A. \(\sqrt{2239cm}\)
B. \(\sqrt{2}\) x 2239cm
C. \(\frac{\sqrt{3}}{2}\) 2239cm
D. \(\sqrt{3}\) x 2239cm
E. 4478cm

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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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What is the greatest straight line distance between two vertices (corners) of a cube whose...

Correct Answer: Option D

Explanation

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