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.2306 cm.2
138 cm.2138 cm.2
208 cm.2208 cm.2
104 cm.2104 cm.2
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The surface area of a rectangular prism is calculated by finding the sum of the areas of each of the six faces.
Looking at the net of the rectangular prism provided in the image, we can see that the dimensions of the rectangular prism are:
- Length: 7 cm
- Width: 10 cm
- Height: 2 cm
The surface area of a rectangular prism is calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Plugging in the values:
Surface Area = 2(7*10) + 2(7*2) + 2(10*2)
Surface Area = 2(70) + 2(14) + 2(20)
Surface Area = 140 + 28 + 40
Surface Area = 208 cm^2
Therefore, the surface area of the rectangular prism is 208 cm^2.
The correct answer is 208 cm^2.