A dresser needs to be placed in an alcove which is 42 1/8 in high. The finished dresser is 36 1/2 inches high. What size legs should be placed on the bottom in order to leave a 1 1/2 inch space between the top of the alcove and the dresser?

I got 4 1/8 inch legs and I was wondering if I was right?

That is what I got, also.

Thanks

To determine the correct size of the legs for the dresser, we need to consider the height of the alcove, the desired space between the top of the alcove and the dresser, and the height of the finished dresser.

First, subtract the desired space of 1 1/2 inches from the height of the alcove of 42 1/8 inches:
42 1/8 - 1 1/2 = 40 5/8 inches

Next, subtract the height of the finished dresser of 36 1/2 inches from the resulting height of the alcove with the desired space between the top of the alcove and the dresser:
40 5/8 - 36 1/2 = 4 1/8 inches

Based on these calculations, the correct size of the legs to leave a 1 1/2 inch space between the top of the alcove and the dresser would be 4 1/8 inches. Therefore, your answer of 4 1/8 inch legs is correct.