To find the surface area of a triangular prism, you need to calculate the area of each face and then add them together.
The surface area of a triangular prism consists of:
- Two triangular bases
- Three rectangular faces
1. Area of the triangular bases:
Base of triangle = (1/2) * base * height
Base = x = 8 units
Height = h = 5 units
Area of triangle = (1/2) * 8 * 5 = 20 square units
Area of both triangular bases = 2 * 20 = 40 square units
2. Area of the three rectangular faces:
- The first rectangular face has dimensions of x (8 units) by y (12 units), so its area is 8 * 12 = 96 square units
- The second rectangular face has dimensions of y (12 units) by z (17 units), so its area is 12 * 17 = 204 square units
- The third rectangular face has dimensions of x (8 units) by z (17 units), so its area is 8 * 17 = 136
3. Add up the areas of the triangular bases and the three rectangular faces:
Total surface area = 40 (trianuglar bases) + 96 + 204 + 136 (rectangular faces) = 476 square units
Therefore, the closest option to the calculated surface area of the 3D triangular prism shown above is 468 square units.
If x =8 units Y =12 units. z =17 units and h =5 units. what is the surface area of the 3d triangular prism shown above? (2 points)
468 square units
510 square units
596 square units
536 square units
1 answer