surface area of a triangular prism with measures of 8, 10, 6, 9 cm.
To find the surface area of a triangular prism, you need to find the area of each of the three faces (two triangular faces and one rectangular face) and then add them together.
First, calculate the area of the two triangular faces using the formula for the area of a triangle, which is 1/2 * base * height:
Area of first triangular face:
1/2 * 8 cm * 10 cm = 40 cm^2
Area of second triangular face:
1/2 * 6 cm * 9 cm = 27 cm^2
Next, calculate the area of the rectangular face using the formula for the area of a rectangle, which is length * width:
Area of rectangular face:
8 cm * 9 cm = 72 cm^2
Now, add the areas of the three faces together to find the total surface area of the triangular prism:
40 cm^2 + 27 cm^2 + 72 cm^2 = 139 cm^2
Therefore, the surface area of the triangular prism with measures of 8, 10, 6, and 9 cm is 139 square centimeters.