surface area of a triangular prism with measures of 8, 10, 6, 9, 90 cm
To find the surface area of a triangular prism, you need to calculate the area of the two triangular bases and the three rectangular faces.
First, calculate the area of the triangular bases:
Base 1:
Area = (1/2) * base * height
Area = (1/2) * 8 * 6
Area = 24 cm²
Base 2:
Area = (1/2) * base * height
Area = (1/2) * 10 * 6
Area = 30 cm²
Next, calculate the area of the three rectangular faces:
Face 1:
Area = length * width
Area = 8 * 10
Area = 80 cm²
Face 2:
Area = length * width
Area = 8 * 9
Area = 72 cm²
Face 3:
Area = length * width
Area = 10 * 9
Area = 90 cm²
Now, calculate the total surface area:
Total SA = 2(triangular base area) + 3(rectangular face area)
Total SA = 2(24 + 30) + 3(80 + 72 + 90)
Total SA = 108 + 504
Total SA = 612 cm²
Therefore, the surface area of the triangular prism is 612 cm².