Surface Area of Rectangular Prisms Quick Check
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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
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To find the surface area of a rectangular prism, we need to find the area of each of the six faces and then add them up.
Let's label the dimensions:
Length = 8 in
Width = 3 in
Height = 5 in
Top and bottom faces:
Area = Length x Width
Area = 8 in x 3 in = 24 in^2
There are two of these faces, so total area = 24 in^2 x 2 = 48 in^2
Front and back faces:
Area = Length x Height
Area = 8 in x 5 in = 40 in^2
There are two of these faces, so total area = 40 in^2 x 2 = 80 in^2
Left and right faces:
Area = Width x Height
Area = 3 in x 5 in = 15 in^2
There are two of these faces, so total area = 15 in^2 x 2 = 30 in^2
Now, add up all the areas:
48 in^2 (top and bottom) + 80 in^2 (front and back) + 30 in^2 (left and right) = 158 in^2
So, the surface area of the rectangular prism is 158 in^2.
Therefore, none of the given responses are correct.