unit 7 lesson 5
surface area of rectangular prisms quick check
use the image to answer the question
7cm., 2cm., 10cm.
what is the surface area of the rectangular prism?
_ cm. ^2
To find the surface area of a rectangular prism, you need to find the area of all six faces and then add them together.
The rectangular prism has 6 faces:
- 2 rectangular faces with dimensions 10cm x 7cm (10cm x 7cm x 2 = 140cm^2 x 2 = 280cm^2)
- 2 rectangular faces with dimensions 7cm x 2cm (7cm x 2cm x 2 = 14cm^2 x 2 = 28cm^2)
- 2 rectangular faces with dimensions 10cm x 2cm (10cm x 2cm x 2 = 20cm^2 x 2 = 40cm^2)
Adding all the areas together: 280cm^2 + 28cm^2 + 40cm^2 = 348cm^2
Therefore, the surface area of the rectangular prism is 348 cm^2.