An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and smaller. The second and fourth are similar and bigger. The fourth rectangle is labeled with a question mark and centimeters on the bottom side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The bottom rectangle is labeled as 2 centimeters on the left side. The first rectangle is labeled as 2 centimeters on the bottom side and 7 centimeters on the left side.

The surface area of the rectangular prism shown in this net is 208 cm2. What is the missing dimension?

(1 point)
Responses

9 cm
9 cm

12 cm
12 cm

11 cm
11 cm

10 cm

1 answer

10 cm

Did you know?

Did you know that the surface area of a rectangular prism can be found by adding up the areas of all its faces? In this illustration, the surface area is given as 208 cm^2. By examining the dimensions labeled on the rectangles, we can deduce the missing dimension. The rectangle labeled as 2 cm on the bottom and 7 cm on the left has an area of 2 cm * 7 cm = 14 cm^2. Similarly, the rectangle labeled as 2 cm on the left and labeled with a question mark has an area of 2 cm * ? = 2 cm * x cm = 2x cm^2. The other rectangles are not relevant to finding the missing dimension. By adding up all the areas, we get 14 cm^2 + 2x cm^2 + 14 cm^2 + 14 cm^2 + 14 cm^2 + 14 cm^2 = 208 cm^2. When solving for x, we find that the missing dimension is 10 cm.