How show the height of the given cuboid?

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Answer 1 · 2018-04-22T09:37:43

Please see the Explanation.

Suppose that the cuboid has, as its base a square of side length

#x# cm. and height #h# cm.

Its surface area consists of #2# squares of side length #x# and #4#

rectangles of dimension #x xx h#.

#:."The Surface Area="2*x^2+4*xh=150......[because," Given]"#.

# rArr 2(x^2+2xh)=150, or, x^2+2xh=75#.

#:. 2xh=75-x^2#.

# rArr h=(75-x^2)/(2x)#, as desired!