Solve the surface area of a triangular prism with 6 cm, 10cm, 10cm 8cm by the line and 10cm
To find the surface area of a triangular prism, you need to find the areas of each of the three faces (two triangular faces and one rectangular face) and then add them together.
First, let's calculate the area of one of the triangular faces. The formula for the area of a triangle is
Area = 1/2 * base * height
In this case, the base is 6 cm and the height is 10 cm. So, the area of one of the triangular faces is:
Area of triangle = 1/2 * 6 cm * 10 cm = 30 cm²
Since there are two triangular faces on a triangular prism, the total area for both triangular faces is:
Total area of triangular faces = 2 * 30 cm² = 60 cm²
Next, let's calculate the area of the rectangular face. The formula for the area of a rectangle is:
Area = length * width
In this case, the length is 10 cm and the width is 8 cm. So, the area of the rectangular face is:
Area of rectangle = 10 cm * 8 cm = 80 cm²
Now, add the areas of the two triangular faces and the rectangular face to find the total surface area of the triangular prism:
Total Surface Area = 60 cm² + 80 cm² = 140 cm²
Therefore, the surface area of the triangular prism with the given dimensions is 140 cm².