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Answer:
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Step-by-step explanation:
The volume of the box can be calculated with this formula:
The volume of the box = area of square base X height of the box.
We are given that the length of one side of the square base is = x cm, and its height is h cm.
Area of square base =
The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.
In this case, the volume of the box will be
from this,
There fore, the box has its length, height, and width all having the same values.
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm