Question
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
75 in.2
75 in.2
123 in.2
123 in.2
150 in.2
150 in.2
212 in.2
212 in.2
To find the surface area of the rectangular prism, we need to calculate the area of each of the 6 rectangles in the net and then sum them up.
Let's label the dimensions of the rectangular prism:
- Length = 5 units
- Width = 4 units
- Height = 3 units
Now calculate the area of each rectangle:
- 2 rectangles are 5 units x 3 units = 15 units² each (front and back faces)
- 2 rectangles are 4 units x 3 units = 12 units² each (side faces)
- 2 rectangles are 4 units x 5 units = 20 units² each (top and bottom faces)
Summing up all the areas, we get:
15 + 15 + 12 + 12 + 20 + 20 = 94 units²
So, the surface area of the rectangular prism is 94 units².