Determine the total surface area of the triangular prism.

Question

12cm 15cm 9cm 4cm

126

252

504

6480

Answer 1

The total surface area of a triangular prism can be calculated using the formula:

Total Surface Area = 2*(base area) + (perimeter of base)*(height)

First, calculate the base area of the triangular prism:
Base area = 1/2 * base * height
Base area = 1/2 * 15cm * 9cm = 67.5 cm²

Now, calculate the perimeter of the base:
Perimeter of base = sum of all sides of the triangle
Perimeter of base = 12cm + 15cm + 9cm = 36cm

Now, calculate the total surface area:
Total Surface Area = 2*(67.5) + 36 * 4
Total Surface Area = 135 + 144
Total Surface Area = 279 cm²

Therefore, the total surface area of the triangular prism is 279 cm².