If the height of the tabletop was 2 inches instead of 1 inch, the surface area would increase by what?
Assuming all other dimensions of the tabletop remain the same, the increase in surface area would depend on the shape of the tabletop.
For a rectangular tabletop with length (l), width (w) and height (h), the surface area (A) can be calculated using the formula:
A = 2lw + 2lh + 2wh
If the height (h) is doubled from 1 inch to 2 inches, the new surface area (A') would be:
A' = 2lw + 2l(2) + 2w(2)
Simplifying this equation:
A' = 2lw + 4l + 4w
Subtracting the original surface area (A) from the new surface area (A'):
A' - A = (2lw + 4l + 4w) - (2lw + 2lh + 2wh)
A' - A = 4l + 4w - 2lh - 2wh
Therefore, the increase in surface area depends on the length, width and original height of the tabletop. Without knowing these dimensions, it is not possible to calculate the increase in surface area.