find the surface area of a box of hieght h whose base dimensions are p and q, and that satisfies either one of the following conditions:

a) the box is closed.
b) the box has an open top.
c) the box has an open top and a square base.

As = 2(L*W) + 2(L*h) + 2(W*h),

L = p units.
W = q units.
h = h units.

As = 2(p*q) + 2(p*h) + 2(q*h) = Surface
area.
The above Eq satisfies condition "a".

To find the surface area of a box with different conditions, we need to consider the different surfaces that make up the box.

1) For a closed box, we need to find the area of all six sides. The six sides of a box are:
- Top and bottom: These are both rectangles with dimensions p x q, so the total area is 2(p * q).
- Front and back: These are both rectangles with dimensions p x h, so the total area is 2(p * h).
- Left and right sides: These are both rectangles with dimensions q x h, so the total area is 2(q * h).

Therefore, the total surface area of a closed box is:
2(p * q) + 2(p * h) + 2(q * h) = 2(pq + ph + qh).

2) For a box with an open top, we only need to find the area of the remaining five sides. Therefore, the total surface area of a box with an open top is:
2(p * h) + 2(q * h) = 2(ph + qh).

3) For a box with an open top and a square base, we have the same surface areas as the previous condition, but we also need to consider the area of the square base. The side length of the square base is either p or q, so the surface area of the base is p * p = p^2 or q * q = q^2. Therefore, the total surface area of a box with an open top and a square base is:
2(p * h) + 2(q * h) + p^2 or 2(ph + qh) + p^2 or q^2.

Remember to substitute the values of p, q, and h into the respective formulas to find the surface area of a box based on the given conditions.