Answer:Therefore, the total surface area of the triangular prism is 1044 cm².
Step-by-step explanation:
Let's calculate the total surface area step by step:
Area of a triangle:
Area = (Base * Height) / 2
Area = (30 * 18) / 2
Area = 540 / 2
Area = 270 cm²
Area of the two triangular bases:
Total base area = 2 * Area of a triangle
Total base area = 2 * 270
Total base area = 540 cm²
Area of the three rectangular sides:
Total side area = 3 * (Length * Side)
Total side area = 3 * (24 * 7)
Total side area = 3 * 168
Total side area = 504 cm²
Total surface area:
Total surface area = Total base area + Total side area
Total surface area = 540 + 504
Total surface area = 1044 cm²
Therefore, the total surface area of the triangular prism is 1044 cm².
