10 8 9 6
What is the surface area of the triangular prism
To find the surface area of a triangular prism, you will need to calculate the area of each of the three faces (two triangular faces and three rectangular faces) and then add them all together.
First, let's find the area of the two triangular faces:
- Area of a triangle = (base * height) / 2
- First triangle: (10 * 8) / 2 = 40 square units
- Second triangle: (9 * 6) / 2 = 27 square units
Next, let's find the area of the three rectangular faces:
- The triangular prism has 3 rectangular faces, two with dimensions 10x9 and one with dimensions 8x9
- First rectangle: 10 * 9 = 90 square units
- Second rectangle: 10 * 9 = 90 square units
- Third rectangle: 8 * 9 = 72 square units
Now, add up the areas of all the faces to find the total surface area:
40 + 27 + 90 + 90 + 72 = 319 square units
Therefore, the surface area of the triangular prism is 319 square units.