Question

Use the image to answer the question.

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 top of the first rectangle is labeled 2 feet. The second and fourth are similar and bigger. The fourth rectangle is labeled 8 feet on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 5 feet on the top side.

Use this net to find the surface area of the rectangular prism it represents.

(1 point)
Responses

80 ft.2
80 ft squared

132 ft.2
132 ft squared

66 ft.2
66 ft squared

30 ft.2
30 ft squared
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism, we need to calculate the area of each of the six rectangles and then add them together.

1. The top rectangle has dimensions 5 feet by 8 feet, so its area is 5 * 8 = 40 square feet.
2. The bottom rectangle has the same dimensions as the top rectangle, so its area is also 40 square feet.
3. The two smaller side rectangles have dimensions 2 feet by 5 feet each, so their combined area is 2 * 5 + 2 * 5 = 20 square feet.
4. The two larger side rectangles have dimensions 5 feet by 8 feet each, so their combined area is 5 * 8 + 5 * 8 = 80 square feet.

Adding up all the areas: 40 + 40 + 20 + 80 = 180 square feet.

Therefore, the surface area of the rectangular prism is 180 square feet.

Answer 2

Use the image to answer the question.

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 top of the first rectangle is labeled 2 feet. The second and fourth are similar and bigger. The fourth rectangle is labeled 8 feet on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 5 feet on the top side.

Use this net to find the surface area of the rectangular prism it represents.

(1 point)
Responses

80 ft.2
80 ft squared

132 ft.2
132 ft squared

66 ft.2
66 ft squared

30 ft.2
30 ft squared
Skip to navigation

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism, we need to calculate the area of each of the six rectangles and then add them together.

1. The top rectangle has dimensions 5 feet by 8 feet, so its area is 5 * 8 = 40 square feet.
2. The bottom rectangle has the same dimensions as the top rectangle, so its area is also 40 square feet.
3. The two smaller side rectangles have dimensions 2 feet by 5 feet each, so their combined area is 2 * 5 + 2 * 5 = 20 square feet.
4. The two larger side rectangles have dimensions 5 feet by 8 feet each, so their combined area is 5 * 8 + 5 * 8 = 80 square feet.

Adding up all the areas: 40 + 40 + 20 + 80 = 180 square feet.

Therefore, the surface area of the rectangular prism is 180 square feet.

The closest answer option provided is 132 ft.2 or 132 ft squared, which is not the exact answer found but is the closest option available.

Answer 4

When using a net, what is the correct formula to find the surface area of a prism with length l , width w , and height h ?(1 point)

Responses

2lw+2lh+2wh
2 l w plus 2 l h plus 2 w h

2l+2h+2w
2 l plus 2 h plus 2 w

lw+lh+wh
l w plus l h plus w h

lhw

Answer 5

[AI-generated answer — Bot GPT 3.5]

The correct formula to find the surface area of a prism with length l , width w , and height h is:

2lw + 2lh + 2wh

This formula takes into account the area of all the faces of the prism.

Answer 6

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

123 in.2
123 in.2

150 in.2
150 in.2

212 in.2
212 in.2

75 in.2
75 in.2
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Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism from the net, we use the formula: 2lw + 2lh + 2wh, where length = 10 in, width = 5 in, and height = 7 in.

Calculating the individual areas:
- Front and back faces (lw): 10 * 7 + 10 * 7 = 70 + 70 = 140 in^2
- Top and bottom faces (lh): 10 * 5 + 10 * 5 = 50 + 50 = 100 in^2
- Side faces (wh): 7 * 5 + 7 * 5 = 35 + 35 = 70 in^2

Adding these areas together: 140 + 100 + 70 = 310 in^2

Therefore, the surface area of the rectangular prism is 310 in^2.

None of the provided options match this calculated value, so none of the provided responses are correct.