Question

a cube has numerically equal volume and surface area. find the edge of the cube

Answer 1

let the volume be x^3
and tha be 6x
acc to ques.
x^3=6x
x^3-6x=0
x(x^2-6)=0
x^2-6=0
x^2=6
x=√6

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Answer 2

Given :-. Volume of cube = TSA of cube


Let the edge ( side ) be a .


:. According to condition

a³ = 6 a²

:. a³ / a² = 6

.: a = 6



Therefore the edge of cube is 6 units.