Respuesta :
Let the side of the square plate be x cm.
The height of the box is 3 cm.
The length & width are both (x-6) cm.
volume = length*width*height
=3*(x-6)*(x-6)
=80
x can then be obtained by solving
3(x-6)(x-6)=80
The height of the box is 3 cm.
The length & width are both (x-6) cm.
volume = length*width*height
=3*(x-6)*(x-6)
=80
x can then be obtained by solving
3(x-6)(x-6)=80
Volume of Open box which is made from square piece of tinplate=80 cm³
⇒Squares of side 3 cm is cut from 4 of it's corner.It means the square boxes are cubical.
Volume of cube=Side × Side × Side
=(Side)³
Volume of 4 cubical box having each side 3 cm
=4×3×3×3
=108 cm³
Total Volume of box=108 cm³ +80 cm³=188 cm³
Since the box is open .
Let the dimension of box be
Length= x cm
Breadth= x cm
Height = x cm
Volume of Original box=188 cm³
[tex]\rightarrow x^3=188\\\\\rightarrow x=(188)^{\frac{1}{3}}\\\\x=5.728\text{approx}[/tex]
So, Original dimension of cubical Square Box=5.73 cm(Approx)
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