Use the NH to answer the question what is the surface area of the triangular prism in front on the bottom we have 4 cm on the right side for the length we have 11 cm on the left side we have 3 cm that’s the short side and then also on the left side, we have 5 cm pointing down to inside of the triangular prism What is the air the surface area of the triangular prism?
To find the surface area of a triangular prism, we need to calculate the areas of the three rectangular sides and the two triangular bases separately.
1. Area of the rectangular side facing front:
- Length: 11 cm
- Width: 4 cm
- Area: 11 cm x 4 cm = 44 cm²
2. Area of the rectangular side on the right:
- Length: 3 cm
- Width: 5 cm
- Area: 3 cm x 5 cm = 15 cm²
3. Area of the rectangular side on the left:
- Length: 3 cm
- Width: 5 cm
- Area: 3 cm x 5 cm = 15 cm²
4. Area of the triangular base:
- Base of the triangle: 4 cm
- Height of the triangle: 5 cm
- Area: 0.5 x base x height = 0.5 x 4 cm x 5 cm = 10 cm²
Adding all the areas together:
44 cm² (front side) + 15 cm² (right side) + 15 cm² (left side) + 10 cm² (triangular base) = 84 cm²
Therefore, the surface area of the triangular prism is 84 cm².