What is the length of an edge of a cube whose t... - WAEC Mathematics 2008 Question
What is the length of an edge of a cube whose total surface area is X cm2 and whose total surface area is (\frac{X}{2})cm3?
A
3
B
6
C
9
D
12
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Correct Option: A
Total surface area of cube = 6s2
6s2 = x
s2 = x = (\frac{x}{6}).....(1)
volume of a cube = s2 = (\frac{x}{2})
s2 = (\frac{x}{2})......(2)
put(1) into (2)
s((\frac{x}{6})) = (\frac{x}{2})
s = (\frac{x}{2} \times \frac{6}{x})
= 3cm
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