Pls answer.
Asked by | 4th May, 2009, 08:19: AM
Let a be the edge of a cube
Volume of cube = a3
There are 12 edges in a cube, so total length of the edges of a cube = 12 a
Surface Area = 6a2
According to the condition given in the question,
a3 + 3 x 12 a = 2 x 6a2
a2 + 36 = 12 a
⇒ a2 - 12a + 36
⇒ (a-6)(a-6)
a = 6
The diagonal of a cube of side a is a3
This can be found by applying the Pythagorean Theorem twice (first to find the diagonal of a face of the cube, a2, and then to find the diagonal through the center, a
3).
Length of the diagonal of a cube =63
Answered by | 4th May, 2009, 12:22: PM
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