How do you find the area of a lateral side?

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1 Answer
Mar 2, 2018

The lateral surface area is #60 cm^2#

Explanation:

The formula for finding the lateral surface area of a rectangular prism is #LSA = pxxh# where #p = perimeter# and #h = height#.

We already know that #h = 6#, but we need to find the perimeter of the base (the grayed-in region of the second picture). The perimeter of any shape is simply all of the sides added together. So all we have to do is add
#2+3+2+3# to find #p#
#5+5 = p#
#10 = p#

Now that we have the perimeter, we can put it into the other formula.
#LSA = pxxh#
#LSA = 10xx6#
#LSA = 60cm^2#