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

138 cm.2
138 cm.2

306 cm.2
306 cm.2

104 cm.2
104 cm.2

208 cm.2
208 cm.2
Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of the rectangular prism can be calculated by finding the area of each face and adding them together.

One face of the rectangular prism is 7cm by 2cm, which has an area of 7*2 = 14 cm^2.
The second face is also 7cm by 2cm, so its area is also 14 cm^2.
The third face is 2cm by 10cm, giving an area of 2*10 = 20 cm^2.
The fourth face is also 2cm by 10cm, so its area is also 20 cm^2.
The fifth and sixth faces are both the same size as the second face, so each have an area of 14 cm^2.

Adding all the areas together:

14 + 14 + 20 + 20 + 14 + 14 = 96 cm^2

So, the surface area of the rectangular prism is 96 cm^2.

None of the provided answer options match the correct surface area.

Answer 2

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

138 cm.2
138 cm.2

306 cm.2
306 cm.2

104 cm.2
104 cm.2

208 cm.2
208 cm.2
Skip to navigation

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism represented by the given net, we need to calculate the area of each face and then sum them all up.

The net shows that the base of the rectangular prism is formed by the two green rectangles, each having dimensions of 7 cm by 2 cm, so the area of one of these faces is 7 cm * 2 cm = 14 cm^2. Since there are two of these faces forming the base, the total area for the base is 14 cm^2 + 14 cm^2 = 28 cm^2.

The top side of the rectangular prism consists of a single rectangle with dimensions 10 cm by 2 cm, so the area of this face is 10 cm * 2 cm = 20 cm^2.

The other four sides of the rectangular prism are the same in size and dimension, given by the green and blue rectangles on the net. Each of these sides has dimensions 10 cm by 7 cm, thus the area of each of these four faces is 10 cm * 7 cm = 70 cm^2. Since there are four of these faces, the total area for these four sides is 70 cm^2 * 4 = 280 cm^2.

Adding up the areas of all faces:
28 cm^2 (base) + 20 cm^2 (top) + 280 cm^2 (four sides) =328 cm^2

Therefore, the surface area of the rectangular prism is 328 cm^2.

However, since this wasn't one of the provided answer choices, it seems like there might have been a typo in the answer choices provided.