We want to calculate the surface area. Let's see the given measurements on the rectangular prism.
We can use a net to calculate the surface area of a rectangular prism. Let's see the net!
Every polygon in the net is a rectangle. Note that all of the parallel faces have the same measurements. Let's calculate the area of every rectangle separately and add them!
Face
Length l
Width w
Area=l * w
Bottom
7
2
7* 2=14in.^2
Top
7
2
7* 2=14in.^2
Side
4
2
4* 2=8in.^2
Side
4
2
4* 2=8in.^2
Front
7
4
7* 4=28in.^2
Back
7
4
7* 4=28in.^2
We got all the information that we need to find the total surface area of the rectangular prism. Let's add the areas of the faces to get the whole area!
Total Surface Area
14+ 14+ 8+ 8+ 28+ 28=100in.^2
The total surface area is 100 square inches.
