Erin is wrapping presents for the holidays. She has a box that measures 20 cm x 14 cm x 14 cm. How many square centimeters of wrapping paper does she need to cover the box without overlapping?
To find the surface area of the box, we need to find the area of each individual side and then add them together.
First, let's find the area of one of the sides that measures 20 cm x 14 cm:
20 cm x 14 cm = <<20*14=280>>280 cm^2
There are two sides that measure 20 cm x 14 cm, so the total area for these two sides is 280 cm^2 x 2 = <<280*2=560>>560 cm^2.
Next, let's find the area of one of the sides that measures 14 cm x 14 cm:
14 cm x 14 cm = <<14*14=196>>196 cm^2
There are two sides that measure 14 cm x 14 cm, so the total area for these two sides is 196 cm^2 x 2 = <<196*2=392>>392 cm^2.
Now, let's find the area of one of the sides that measures 20 cm x 14 cm:
20 cm x 14 cm = <<20*14=280>>280 cm^2
There are two sides that measure 20 cm x 14 cm, so the total area for these two sides is 280 cm^2 x 2 = <<280*2=560>>560 cm^2.
Now we add up all the areas: 560 cm^2 + 392 cm^2 + 560 cm^2 = <<560+392+560=1512>>1512 cm^2.
Thus, Erin needs 1512 square centimeters of wrapping paper to cover the box without overlapping. Answer: \boxed{1512}.