A big square box has four small squares of side 3cm cut off from all it's corners. The remaining solid is folded to form an open cuboid whose volume is 27c cubic centimeters. What was the original length of the box?
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Volume is 50=hx
2
⇒h=
x
2
50
Area of base is x
2
.
Area of rectangular faces is x×h=
x
50
There are 4 rectangular faces and 1 base in our cardboard box ( top open ).
So, the total surface area is x
2
+4×
x
50
=
x
200
+x
2
.
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