FX equals seven units Y equals four units seven equals 18 units and H equals seven units what is the surface area of the triangular prism shown above
To find the surface area of a triangular prism, you need to calculate the sum of the areas of all five faces.
The triangular faces are labeled FX, YFZ and XZH, while the rectangular faces are labelled FYHZ and XYZH.
Here are the steps to find the surface area:
1. Find the area of the triangular faces:
- The area of FX is (1/2) * FX * Y, which equals (1/2) * 7 * 4 = 14 square units
- The area of YFZ is (1/2) * Y * FX, which equals (1/2) * 4 * 7 = 14 square units
- The area of XZH is (1/2) * FX * H, which equals (1/2) * 7 * 7 = 24.5 square units
2. Find the area of the rectangular faces:
- The area of FYHZ is FY * H, which equals 7 * 7 = 49 square units
- The area of XYZH is Y * X, which equals 4 * 7 = 28 square units
3. Add up all the areas to find the total surface area:
Total surface area = 14 + 14 + 24.5 + 49 + 28 = 129.5 square units
Therefore, the surface area of the triangular prism shown above is 129.5 square units.