unit 7 lesson 5

surface area of rectangular prisms practice

use the image to answer the question
4in., 2.25in., 8in.

what is the surface area of the rectangular prism?

_ in. ^2

1 answer

To find the surface area of a rectangular prism, we need to calculate the area of each of the six faces and then add them all together.

The rectangular prism in the image has dimensions:
- Length = 8 inches
- Width = 4 inches
- Height = 2.25 inches

Now, let's calculate the area of each face:
1. Top face: 8 inches x 4 inches = 32 square inches
2. Bottom face: 8 inches x 4 inches = 32 square inches
3. Front face: 2.25 inches x 4 inches = 9 square inches
4. Back face: 2.25 inches x 4 inches = 9 square inches
5. Left face: 2.25 inches x 8 inches = 18 square inches
6. Right face: 2.25 inches x 8 inches = 18 square inches

Now, add up all these areas to find the total surface area:
32 + 32 + 9 + 9 + 18 + 18 = 118 square inches

Therefore, the surface area of the rectangular prism is 118 square inches.
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