How many triangles make up a triangular prism?(1 point)
______ triangles
9 answers
There are 5 triangles that make up a triangular prism.
How many rectangle lateral faces make up a triangular prism?(1 point)
There are 3 rectangular lateral faces that make up a triangular prism.
How many two-dimensional shapes make up a triangular prism?
A triangular prism is made up of 5 two-dimensional shapes: 1 triangular base, 2 triangular faces, and 2 rectangular lateral faces.
8 tall 6 wide 9 long
What is the surface area of the triangular prism?
What is the surface area of the triangular prism?
To find the surface area of a triangular prism, you need to calculate the areas of all the faces and add them up. Here is how you can do it:
1. Base: The triangular base has a base of 6 and a height of sqrt(3) * 6/2 = 3 * sqrt(3). Therefore, the area of the triangular base is (1/2) * 6 * 3 * sqrt(3) = 9 sqrt(3) square units.
2. Lateral Faces: The two rectangular lateral faces have dimensions of 8 x 9 and 6 x 9. The area of these faces are:
- 8 x 9 = 72 square units
- 6 x 9 = 54 square units
Add up the areas of the triangular base and the two lateral faces to find the total surface area:
Surface Area = 2(base area) + (perimeter of base) * height
Surface Area = 2(9 sqrt(3)) + (6 + 8 + 6) * 9
Surface Area = 18 sqrt(3) + 20 * 9
Surface Area = 18 sqrt(3) + 180
Surface Area ≈ 283.12 square units
Therefore, the surface area of the triangular prism is approximately 283.12 square units.
1. Base: The triangular base has a base of 6 and a height of sqrt(3) * 6/2 = 3 * sqrt(3). Therefore, the area of the triangular base is (1/2) * 6 * 3 * sqrt(3) = 9 sqrt(3) square units.
2. Lateral Faces: The two rectangular lateral faces have dimensions of 8 x 9 and 6 x 9. The area of these faces are:
- 8 x 9 = 72 square units
- 6 x 9 = 54 square units
Add up the areas of the triangular base and the two lateral faces to find the total surface area:
Surface Area = 2(base area) + (perimeter of base) * height
Surface Area = 2(9 sqrt(3)) + (6 + 8 + 6) * 9
Surface Area = 18 sqrt(3) + 20 * 9
Surface Area = 18 sqrt(3) + 180
Surface Area ≈ 283.12 square units
Therefore, the surface area of the triangular prism is approximately 283.12 square units.
10 long 5 wide 5 wide right triangle side 5 wide triangle side 4 tall
What is the surface area of the net of the triangular prism?
What is the surface area of the net of the triangular prism?
To find the surface area of the net of the triangular prism, you need to calculate the areas of all the faces when the prism is unfolded and laid flat.
The net of a triangular prism consists of 2 triangular bases and 3 rectangles which will be as follow:
1. Base Triangles: The two triangular based will have a base of 5 and height of 4. The area of one triangle will be:
Area = (1/2) * base * height
Area = (1/2) * 5 * 4
Area = 10 square units
Since there are two triangles, the total area of the base triangles is 2 * 10 = 20 square units.
2. Lateral Rectangles:
- The first rectangle will have dimensions of 10 (10 long) x 5 (5 wide), so the area will be 10 * 5 = 50 square units.
- The other two rectangles will each also have an area of 10 * 5 = 50 square units.
Add up the areas of all the components of the net of the triangular prism to find the total surface area of the net:
Total Surface Area = 20 (base triangles) + 50 (lateral rectangle 1) + 50 (lateral rectangle 2) + 50 (lateral rectangle 3)
Total Surface Area = 20 + 50 + 50 + 50
Total Surface Area = 170 square units
Therefore, the surface area of the net of the triangular prism is 170 square units.
The net of a triangular prism consists of 2 triangular bases and 3 rectangles which will be as follow:
1. Base Triangles: The two triangular based will have a base of 5 and height of 4. The area of one triangle will be:
Area = (1/2) * base * height
Area = (1/2) * 5 * 4
Area = 10 square units
Since there are two triangles, the total area of the base triangles is 2 * 10 = 20 square units.
2. Lateral Rectangles:
- The first rectangle will have dimensions of 10 (10 long) x 5 (5 wide), so the area will be 10 * 5 = 50 square units.
- The other two rectangles will each also have an area of 10 * 5 = 50 square units.
Add up the areas of all the components of the net of the triangular prism to find the total surface area of the net:
Total Surface Area = 20 (base triangles) + 50 (lateral rectangle 1) + 50 (lateral rectangle 2) + 50 (lateral rectangle 3)
Total Surface Area = 20 + 50 + 50 + 50
Total Surface Area = 170 square units
Therefore, the surface area of the net of the triangular prism is 170 square units.
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