The amount of surface area that will not be painted is equal to the area of the underside of the table. Therefore, the total surface area that will be painted is the surface area of the top of the table plus the surface area of the sides of the table.
If we assume the table is rectangular with length L, width W, and height H, the surface area of the top of the table is LW, and the surface area of each of the four sides of the table is HL. Therefore, the total surface area that will be painted is:
LW + 4HL
If we leave the underside unpainted, we do not have to paint the surface area of the bottom of the table, which is also LW. Therefore, the amount of surface area that will be saved by leaving the underside unpainted is:
LW - LW = 0
In other words, there is no difference in the amount of surface area that will be painted whether we paint the underside or not.
Table is going to be painted. How much less surface area of the table will be painted if the underside remains unpainted?
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