Solve the surface area of the triangular prism 6cm, 10cm, 10cm , 10cm, 8cm ?
First, let's identify the dimensions of the triangular prism:
- Base: 6 cm x 10 cm
- Height: 10 cm
- Side: 8 cm
To find the surface area of a triangular prism, we need to find the area of each face (the two triangular faces and the three rectangular faces) and then add them all together.
1. The two triangular faces:
Area = 1/2 * base * height
= 1/2 * 6 cm * 10 cm
= 30 cm² for each triangular face
Total area for both triangular faces = 2 * 30 cm² = 60 cm²
2. The three rectangular faces:
- Face 1:
Area = length * height
= 10 cm * 10 cm
= 100 cm²
- Face 2:
Area = width * height
= 6 cm * 10 cm
= 60 cm²
- Face 3:
Area = length * side
= 10 cm * 8 cm
= 80 cm²
Total area for the three rectangular faces = 100 cm² + 60 cm² + 80 cm² = 240 cm²
Now, add up the areas of the two triangular faces and the three rectangular faces:
Total surface area = 60 cm² + 240 cm² = 300 cm²
Therefore, the surface area of the triangular prism is 300 cm².