Question

An open container is made from a sheet of cardboard of size 200mm x 300mm. using simple fold, as shown in figure, Show that the Capacity C ml of the box is given by C=x(150-x)(100-x)/250

Answer 1

Volume (or Capacity) of C is:
\[ C = V = l \times w \times h\]

We know that one of the sides, say w, is:
\[ w = (300 - 2x) \]

We know another side is:
\[ l = (200-2x) \]

And another side is:
\[ h = x \]

Therefore:
\[ C = x(200-2x)(300-2x) \]

I have no clue where the divide by 250 came from. o_0

Answer 2

Well 250 came when converting it into ml..
\[C=\frac{4x(150-x)(100-x)}{1000}\]\[C=\frac{x(150-x)(100-x)}{250}\]