Surface Area of Triangular Prisms Practice

Answer 1

1. Find the surface area of a triangular prism with a base of 6 cm, height of 8 cm, and a length of 10 cm.

First, calculate the area of the two triangular bases:
Area = 1/2 x base x height
Area = 1/2 x 6 cm x 8 cm
Area = 24 cm²

Now, calculate the area of the three rectangular faces:
Area = base x height
Area = 6 cm x 10 cm
Area = 60 cm²

Finally, add the areas of the two triangular bases and three rectangular faces:
Total Surface Area = 2(24 cm²) + 3(60 cm²)
Total Surface Area = 48 cm² + 180 cm²
Total Surface Area = 228 cm²

Therefore, the surface area of the triangular prism is 228 cm².

2. Find the surface area of a triangular prism with a base of 5 cm, height of 12 cm, and a length of 15 cm.

First, calculate the area of the two triangular bases:
Area = 1/2 x base x height
Area = 1/2 x 5 cm x 12 cm
Area = 30 cm²

Now, calculate the area of the three rectangular faces:
Area = base x height
Area = 5 cm x 15 cm
Area = 75 cm²

Finally, add the areas of the two triangular bases and three rectangular faces:
Total Surface Area = 2(30 cm²) + 3(75 cm²)
Total Surface Area = 60 cm² + 225 cm²
Total Surface Area = 285 cm²

Therefore, the surface area of the triangular prism is 285 cm².