unit 6 lesson 5
surface area of rectangular prisms practice
use the image to answer the question
7in., 3 in., 5in.
what is the surface area of the rectangular prism?
_ in. ^2
To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them together.
The front and back faces have dimensions of 7in. by 5in., so their combined area is 7in. x 5in. x 2 = 70in^2.
The top and bottom faces have dimensions of 7in. by 3in., so their combined area is 7in. x 3in. x 2 = 42in^2.
The left and right faces have dimensions of 5in. by 3in., so their combined area is 5in. x 3in. x 2 = 30in^2.
Adding up the areas of all six faces gives us a total surface area of 70in^2 + 42in^2 + 30in^2 = 142in^2.
Therefore, the surface area of the rectangular prism is 142 square inches.