Use the image to answer the question.
An illustration shows a two-dimensional net of a rectangular prism composed of 6 rectangles.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
150 in.2
150 in.2
123 in.2
123 in.2
212 in.2
212 in.2
75 in.2
To find the surface area of a rectangular prism, you need to find the area of each of the six rectangles in the net and then add them all together.
Each rectangle in the net represents one face of the rectangular prism. The dimensions of the rectangles are given as follows:
- Two rectangles are 3 in. by 12 in.
- Two rectangles are 3 in. by 4 in.
- Two rectangles are 4 in. by 12 in.
Now, calculate the area of each rectangle:
1. Area of the two rectangles that are 3 in. by 12 in.:
2 rectangles x (3 in. x 12 in.) = 72 in.²
2. Area of the two rectangles that are 3 in. by 4 in.:
2 rectangles x (3 in. x 4 in.) = 24 in.²
3. Area of the two rectangles that are 4 in. by 12 in.:
2 rectangles x (4 in. x 12 in.) = 96 in.²
Now, add all the areas together:
72 in.² (two rectangles 3 in. by 12 in.) + 24 in.² (two rectangles 3 in. by 4 in.) + 96 in.² (two rectangles 4 in. by 12 in.) = 192 in.²
So, the surface area of the rectangular prism is 192 in.².
Unfortunately, this answer choice was not provided in the options.