Surface Area of Rectangular Prisms Practice
Surface Area of Rectangular Prisms Quick Check
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Question
Use the image to answer the question.
There are four adjoining rectangles of the same height positioned so their vertical sides touch. The first and third rectangles from the left are the same size as each other. The second and fourth rectangles from the left are also the same size as each other but wider than the first and third. The first rectangle is labeled 7 centimeters on the left side and 2 centimeters on the bottom side. The fourth rectangle is labeled 10 centimeters on the bottom side. The second rectangle has identical small rectangles touching its top and bottom sides. The small rectangles are the same width as the second rectangle.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
306 cm.2
306 cm.2
104 cm.2
104 cm.2
138 cm.2
138 cm.2
208 cm.2
208 cm.2
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To find the surface area of the rectangular prism, we need to calculate the area of each of the six faces and then add them up.
1. The front face has an area of 7 cm * 2 cm = 14 cm^2.
2. The back face has the same area as the front face, so it's also 14 cm^2.
3. The top face is 7 cm * 10 cm = 70 cm^2.
4. The bottom face is the same as the top face, so it's also 70 cm^2.
5. The left side face is 2 cm * 10 cm = 20 cm^2.
6. The right side face is the same as the left side face, so it's also 20 cm^2.
Adding up all these areas: 14 cm^2 + 14 cm^2 + 70 cm^2 + 70 cm^2 + 20 cm^2 + 20 cm^2 = 208 cm^2.
Therefore, the correct answer is 208 cm^2.