What is the surface area of this prism? ( 6 ft, 3.5 ft, 8 ft. )

Answer 1

To calculate the surface area of a prism, you need to find the area of each face and add them together.

The prism has 2 triangular faces and 3 rectangular faces.

For the triangular faces:
Area = 0.5 * base * height

Area = 0.5 * 6 ft * 3.5 ft = 10.5 ft² (for each triangular face)

For the rectangular faces:
Area = length * width

Area = 6 ft * 8 ft = 48 ft² (for each rectangular face)

Now, add the areas together:
Total surface area = 2(10.5 ft²) + 3(48 ft²)
Total surface area = 21 ft² + 144 ft²
Total surface area = 165 ft²

Therefore, the surface area of this prism is 165 square feet.