To find the surface area of the triangular prism, we need to calculate the area of each of the three rectangles and two triangles.
Area of each rectangle = length x width = 8m x 3m = 24 square meters
Area of each triangle = 1/2 x base x height = 1/2 x 3m x 2.6m = 3.9 square meters
For the rectangles:
- Top and Bottom: 8m x 3m = 24 square meters each
- Middle: 8m x 3m = 24 square meters
For the triangles:
- Left and Right: 2 x 3.9 square meters = 7.8 square meters
Total surface area = (2 x rectangles) + (2 x triangles) + (2 x top/bottom)
= (2 x 24 square meters) + (2 x 7.8 square meters) + (2 x 24 square meters)
= 48 square meters + 15.6 square meters + 48 square meters
= 111.6 square meters
Therefore, the surface area of the triangular prism shown as a net is approximately 111.6 square meters.
Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three horizontal rectangles joined one on top of another. All 4 sides of the middle rectangle are drawn with dashed lines. The length of all the rectangles is 8 meters. The width of all the rectangles is 3 meters. Two identical triangles adjoin the middle rectangle at the left and right, with the perpendicular height of the triangles measuring 2.6 meters.
What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.
(1 point)
7 answers
wrong
Apologies for the error in the previous response. Let's correct the calculation:
Rectangles:
- Top and Bottom: 8m x 3m = 24 square meters each
- Middle: 8m x 3m = 24 square meters
Triangles:
- Left and right: 1/2 x base x height = 1/2 x 3m x 2.6m = 3.9 square meters each
Total surface area = (2 x rectangles) + (2 x triangles) + (2 x top/bottom)
= (2 x 24 square meters) + (2 x 3.9 square meters) + (2 x 24 square meters)
= 48 square meters + 7.8 square meters + 48 square meters
= 103.8 square meters
Therefore, the correct surface area of the triangular prism shown as a net is approximately 103.8 square meters.
Rectangles:
- Top and Bottom: 8m x 3m = 24 square meters each
- Middle: 8m x 3m = 24 square meters
Triangles:
- Left and right: 1/2 x base x height = 1/2 x 3m x 2.6m = 3.9 square meters each
Total surface area = (2 x rectangles) + (2 x triangles) + (2 x top/bottom)
= (2 x 24 square meters) + (2 x 3.9 square meters) + (2 x 24 square meters)
= 48 square meters + 7.8 square meters + 48 square meters
= 103.8 square meters
Therefore, the correct surface area of the triangular prism shown as a net is approximately 103.8 square meters.
also wrong
I apologize for the errors in the previous responses. Let's correct the calculation:
Rectangles:
- Top and Bottom: 8m x 3m = 24 square meters each
- Middle: 8m x 3m = 24 square meters
Triangles:
- Left and right: 1/2 x base x height = 1/2 x 3m x 2.6m = 3.9 square meters each
Total surface area = (2 x rectangles) + (2 x triangles) + (2 x middle rectangle)
= (2 x 24 square meters) + (2 x 3.9 square meters) + (24 square meters)
= 48 square meters + 7.8 square meters + 24 square meters
= 79.8 square meters
Therefore, the correct surface area of the triangular prism shown as a net is approximately 79.8 square meters.
Rectangles:
- Top and Bottom: 8m x 3m = 24 square meters each
- Middle: 8m x 3m = 24 square meters
Triangles:
- Left and right: 1/2 x base x height = 1/2 x 3m x 2.6m = 3.9 square meters each
Total surface area = (2 x rectangles) + (2 x triangles) + (2 x middle rectangle)
= (2 x 24 square meters) + (2 x 3.9 square meters) + (24 square meters)
= 48 square meters + 7.8 square meters + 24 square meters
= 79.8 square meters
Therefore, the correct surface area of the triangular prism shown as a net is approximately 79.8 square meters.
correct
Thank you for your understanding. If you have any more questions or need further assistance, please feel free to ask.