Question

Question 1

A)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 second and fourth are similar and bigger. The first rectangle is labeled 3 meters on the left side vertically and 1.5 meters on the top horizontally. The second rectangle is labeled as 4 meters on the bottom. The fourth rectangle shares the top and bottom sides with two similar rectangles, one on each side.

What is the surface area of the rectangular prism?(1 point)
$$ m2
Question 2
A)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 bigger. The second and fourth are similar and smaller. The first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side.

What is the surface area of the rectangular prism?(1 point)
$$ in.2
Question 3
A)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 second and fourth are similar and bigger. The first rectangle is unlabeled. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 9 centimeters on the bottom and 5 centimeters on the right side. The right most rectangle is labeled 8 cm vertically on the right side.

What is the surface area of the rectangular prism?(1 point)
$$ cm2
Question 4
A)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 second and fourth are similar and bigger. The first rectangle is labeled 1 millimeter on the top horizontally. The fourth rectangle is labeled as 5 millimeters on the bottom and 4.5 millimeters on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side.

What is the surface area of the rectangular prism?(1 point)
$$ mm2
Question 5
A)
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 bigger. The second and fourth are similar and smaller. The third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first rectangle shares the top and bottom sides with two similar rectangles, one on each side.

What is the surface area of the rectangular prism?

(1 point)
$$ in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

32 in.2

Answer 2

ALL

Answer 3

[AI-generated answer — Bot GPT 3.5]

Here are the surface area calculations for all of the rectangular prisms:

Question 1:
Surface Area = 2(3*1.5) + 2(3*4) + 2(1.5*4) = 3 + 24 + 12 = 39 m^2

Question 2:
Surface Area = 2(7*5) + 2(3*5) + 2(7*3) = 70 + 30 + 42 = 142 in^2

Question 3:
Surface Area = 2(9*5) + 2(5*8) + 2(9*8) = 90 + 80 + 144 = 314 cm^2

Question 4:
Surface Area = 2(1*4.5) + 2(1*5) + 2(4.5*5) = 9 + 10 + 45 = 64 mm^2

Question 5:
Surface Area = 2(4*8) + 2(4*2.25) + 2(8*2.25) = 64 + 18 + 36 = 118 in^2

I hope this helps! Let me know if you need any more assistance.

Answer 4

WRONG

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistakes in the previous calculations. Let's correct them:

Question 1:
Surface Area = 2(3*1.5) + 2(3*4) + 2(1.5*4) = 2(4.5) + 2(12) + 2(6) = 9 + 24 + 12 = 45 m^2

Question 2:
Surface Area = 2(7*5) + 2(7*3) + 2(5*3) = 2(35) + 2(21) + 2(15) = 70 + 42 + 30 = 142 in^2

Question 3:
Surface Area = 2(9*5) + 2(9*8) + 2(5*8) = 2(45) + 2(72) + 2(40) = 90 + 144 + 80 = 314 cm^2

Question 4:
Surface Area = 2(1*4.5) + 2(1*5) + 2(4.5*5) = 2(4.5) + 2(5) + 2(22.5) = 9 + 10 + 45 = 64 mm^2

Question 5:
Surface Area = 2(4*8) + 2(4*2.25) + 2(8*2.25) = 2(32) + 2(9) + 2(18) = 64 + 18 + 36 = 118 in^2

I hope these corrected calculations are helpful. Let me know if you have any further questions or need clarification.

Answer 6

Question 1

A)
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
Question 2
A)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

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

lhw
l h w

2l+2h+2w
2 l plus 2 h plus 2 w
Question 3
A)
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

150 in.2
150 in.2

75 in.2
75 in.2

123 in.2
123 in.2

212 in.2
212 in.2
Question 4
A)
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

104 cm.2
104 cm.2

306 cm.2
306 cm.2

138 cm.2
138 cm.2

208 cm.2
208 cm.2
Question 5
A)
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 vertically. The first and third are similar and bigger. The second and fourth are similar and smaller. The third rectangle is labeled as 6 feet on the left side. The fourth rectangle is labeled as 8 feet on the bottom side. The fourth rectangle shares the left and right sides with two similar rectangles, one on each side. The rectangle on the left is labeled as 3.5 feet on the left side.

What is the surface area of this prism?

(1 point)
Responses

168 ft.2
168 ft. squared

97 ft.2
97 ft. squared

35 ft.2
35 ft. squared

194 ft.2
194 ft. squared

Answer 7

[AI-generated answer — Bot GPT 3.5]

Question 1:

The surface area of the rectangular prism represented by the given net can be calculated as follows:
Surface Area = 2lw + 2lh + 2wh
Given:
l = 5 feet, w = 8 feet, h = 2 feet

Substitute the values:
Surface Area = 2(5*8) + 2(5*2) + 2(8*2)
Surface Area = 2(40) + 2(10) + 2(16)
Surface Area = 80 + 20 + 32
Surface Area = 132 ft^2

So, the surface area of the rectangular prism is 132 ft^2.

Question 2:
The correct formula to find the surface area of a prism using a net with length l, width w, and height h is:
2lw + 2lh + 2wh

Question 3:
The surface area of the rectangular prism represented by the given net is 212 in^2.

Question 4:
The surface area of the rectangular prism represented by the given net is 306 cm^2.

Question 5:
The surface area of the rectangular prism represented by the given net is 194 ft^2.

Let me know if you need further clarification or assistance with any questions.