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.2150 in.2
75 in.275 in.2
123 in.2123 in.2
212 in.2212 in.2
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To find the surface area of the rectangular prism, you would need to calculate the area of each of the six rectangles and then add them all together.
Looking at the net, we can see that there are three pairs of rectangles that are congruent. Let's label the dimensions of the rectangular prism as follows:
Length: 6 units
Width: 4 units
Height: 5 units
Now, calculate the area of the rectangles:
1. The two rectangles on the top and bottom with dimensions 6 units by 4 units each: 2(6 x 4) = 48 square units.
2. The two rectangles on the front and back with dimensions 6 units by 5 units each: 2(6 x 5) = 60 square units.
3. The two rectangles on the sides with dimensions 4 units by 5 units each: 2(4 x 5) = 40 square units.
Now, add all the areas together:
48 + 60 + 40 = 148 square units.
Therefore, the surface area of the rectangular prism is 148 square units.
None of the given answer options match the calculated surface area, so there might be a mistake in the calculations or labeling of dimensions.