A rectangular prism has a total of six surfaces. The dimensions of these six surfaces can be thought of in pairs — two sides are the prism's length l and width w, another two sides are the prism's length l and height h, and the final pair are the prism's width w and height h.
We want to find the surface area of the prism. To do so, we need to add the area of all six of these sides together.
S=2l w+2l h+2wh
We are told that the dimensions of our prism are l =6inches, w=1inches, and h=4inches. Let's draw a rectangular prism with these measurements.
Now, we can substitute these values into the surface area formula.
S=2( 6)( 1)+2( 6)( 4)+2( 1)( 4)
Finally, let's use these equation to calculate the surface area of the given rectangular prism.
