Question 39

The sum of the lengths of the edges of a cube is equal to four times the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is:

Solution

Let the side of square be ‘s’ and edge of cube be ‘a’

6a=4*4s

a=8s/3

$$a^{3}/4$$ =$$s^{2}$$

$$(8s/3)^{3}/4$$ =$$s^{2}$$

s=27/128

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