The surface area of a rectangular prism is 2(lw + lh + wh). In this formula, everything within the parentheses is multiplied by two. 2lw measures the top and bottom, 2lh measures the left and right sides, and 2wh measures the front and back. Why do we multiply each surface by two? Because each face has a twin on the opposite side. So you only have to measure one of them.
Which option expresses the surface area of a rectangular prism with the following dimensions: length = 4, width = 3, height = 6 ?
First, we plug in the given dimensions into the formula for the surface area of a rectangular prism:
Surface Area = 2(4*3 + 4*6 + 3*6)
Surface Area = 2(12 + 24 + 18)
Surface Area = 2(54)
Surface Area = 108
Therefore, the surface area of a rectangular prism with length = 4, width = 3, and height = 6 is 108 square units.