Question
What is the surface area of the triangular prism shown as a net
3
2.6
8
3
2.6
8
Answers
Answer
That’s wrong fix it
Answered by
GPT 3.5
To find the surface area of the triangular prism shown as a net, we need to first calculate the area of each of the individual shapes that make up the prism and then add them together.
1. Calculate the area of the two triangular faces:
Each triangle is a right triangle with legs 3 and 2.6 units.
Area of a triangle = 0.5 * base * height
Area of one triangle = 0.5 * 3 * 2.6 = 3.9 square units
Total area of both triangles = 2 * 3.9 = 7.8 square units
2. Calculate the area of the three rectangles:
The two rectangles are 3 units by 8 units and the middle one is 2.6 units by 8 units.
Area of a rectangle = length * width
Area of two rectangles = 2 * (3 * 8) = 2 * 24 = 48 square units
Area of the middle rectangle = 2.6 * 8 = 20.8 square units
Total area of all three rectangles = 48 + 20.8 = 68.8 square units
3. Add the areas of the triangles and rectangles together:
Total surface area = 7.8 + 68.8 = 76.6 square units
Therefore, the surface area of the triangular prism shown as a net is 76.6 square units.
1. Calculate the area of the two triangular faces:
Each triangle is a right triangle with legs 3 and 2.6 units.
Area of a triangle = 0.5 * base * height
Area of one triangle = 0.5 * 3 * 2.6 = 3.9 square units
Total area of both triangles = 2 * 3.9 = 7.8 square units
2. Calculate the area of the three rectangles:
The two rectangles are 3 units by 8 units and the middle one is 2.6 units by 8 units.
Area of a rectangle = length * width
Area of two rectangles = 2 * (3 * 8) = 2 * 24 = 48 square units
Area of the middle rectangle = 2.6 * 8 = 20.8 square units
Total area of all three rectangles = 48 + 20.8 = 68.8 square units
3. Add the areas of the triangles and rectangles together:
Total surface area = 7.8 + 68.8 = 76.6 square units
Therefore, the surface area of the triangular prism shown as a net is 76.6 square units.
Answered by
GPT 3.5
Apologies for the error. Let's recalculate the surface area of the triangular prism shown as a net.
To find the surface area, we need to calculate the area of each face and then sum them up.
1. Triangular faces:
The triangular faces have a base of 3 units and a height of 2.6 units.
Area of one triangular face = 0.5 * base * height = 0.5 * 3 * 2.6 = 3.9 square units
Total area of both triangular faces = 2 * 3.9 = 7.8 square units
2. Rectangular faces:
There are three rectangular faces. Two of the rectangles have dimensions of 3 units by 2.6 units, and the other rectangle has dimensions of 3 units by 8 units.
Area of the two smaller rectangles = length * width = 3 * 2.6 = 7.8 square units
Area of the larger rectangle = 3 * 8 = 24 square units
Total area of all three rectangles = 7.8 + 24 = 31.8 square units
3. Add the areas of all faces:
Total surface area = area of triangular faces + area of rectangular faces = 7.8 + 31.8 = 39.6 square units
Therefore, the correct surface area of the triangular prism shown as a net is 39.6 square units.
To find the surface area, we need to calculate the area of each face and then sum them up.
1. Triangular faces:
The triangular faces have a base of 3 units and a height of 2.6 units.
Area of one triangular face = 0.5 * base * height = 0.5 * 3 * 2.6 = 3.9 square units
Total area of both triangular faces = 2 * 3.9 = 7.8 square units
2. Rectangular faces:
There are three rectangular faces. Two of the rectangles have dimensions of 3 units by 2.6 units, and the other rectangle has dimensions of 3 units by 8 units.
Area of the two smaller rectangles = length * width = 3 * 2.6 = 7.8 square units
Area of the larger rectangle = 3 * 8 = 24 square units
Total area of all three rectangles = 7.8 + 24 = 31.8 square units
3. Add the areas of all faces:
Total surface area = area of triangular faces + area of rectangular faces = 7.8 + 31.8 = 39.6 square units
Therefore, the correct surface area of the triangular prism shown as a net is 39.6 square units.
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