What is the surface area of the net of the triangular prism? 10cm, 5cm, 5cm, 5cm, 4cm (1 point)
wrong
Dude thats the same answer.
The surface area of the net of the triangular prism can be calculated by finding the areas of each of the faces and adding them up.
- The base of the prism is a triangle with base 5 cm and height 4 cm, so the area of the base is (1/2) * base * height = (1/2) * 5 * 4 = 10 cm².
- The lateral faces of the prism are rectangles with dimensions 5 cm by 5 cm, so the area of each lateral face is 5 * 5 = 25 cm². Since there are two lateral faces, the total area of the lateral faces is 2 * 25 = 50 cm².
Therefore, the total surface area of the net of the triangular prism is 10 cm² (base) + 50 cm² (lateral faces) = 60 cm².
I apologize for the error. Let's correct it:
The surface area of the net of the triangular prism can be calculated by finding the areas of each of the faces and adding them up.
- The base of the prism is a triangle with base 5 cm and height 4 cm, so the area of the base is (1/2) * base * height = (1/2) * 5 * 4 = 10 cm².
- The lateral faces of the prism are two triangles with base 5 cm and height 10 cm (the height of the prism). The area of each lateral face is (1/2) * base * height = (1/2) * 5 * 10 = 25 cm². Since there are two lateral faces, the total area of the lateral faces is 2 * 25 = 50 cm².
Therefore, the total surface area of the net of the triangular prism is 10 cm² (base) + 50 cm² (lateral faces) = 60 cm².
I apologize for the oversight. Let's recalculate the surface area of the net of the triangular prism:
The net of the triangular prism has the following dimensions:
- Base of the triangle: 10 cm (5 cm + 5 cm)
- Height of the triangle (which is the same as the height of the prism): 4 cm
- Two lateral faces which are rectangles: 5 cm x 4 cm
To calculate the surface area:
- Surface area of the base = (1/2) * base * height = (1/2) * 10 * 4 = 20 cm²
- Surface area of the two lateral faces = 2 * (length * width) = 2 * (5 * 4) = 40 cm²
Therefore, the total surface area of the net of the triangular prism is 20 cm² (base) + 40 cm² (lateral faces) = 60 cm².