The surface area of the rectangular prism can be calculated by finding the area of each of the six rectangles in the net and adding them all together.
The dimensions of the rectangular prism in the net are:
- Length = 6 units
- Width = 4 units
- Height = 5 units
Calculating the area of each rectangle:
- Top and bottom faces: 6 units (length) x 4 units (width) = 24 units2 x 2 = 48 units2
- Front and back faces: 6 units (length) x 5 units (height) = 30 units2 x 2 = 60 units2
- Left and right faces: 4 units (width) x 5 units (height) = 20 units2 x 2 = 40 units2
Adding all of the areas together:
48 units2 + 60 units2 + 40 units2 = 148 units2
The surface area of the rectangular prism is 148 in.2.
Therefore, none of the given response options match the correct answer.
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
123 in.2
123 in.2
150 in.2
150 in.2
212 in.2
212 in.2
75 in.2
75 in.2
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1 answer