what is the surface area of the net of the triangular prism 10cm 5cm 4cm 5cm 5cm
To find the surface area of the net of a triangular prism, we need to find the area of each face and then add them together.
The triangular faces have a base of 4 cm and height of 5 cm. The formula to find the area of a triangle is A = 1/2 * base * height. Therefore, the area of each triangular face is:
A = 1/2 * 4cm * 5cm = 10 cm^2
Since there are two triangular faces, the total area of the triangular faces is:
10 cm^2 + 10 cm^2 = 20 cm^2
Next, we need to find the area of the three rectangular faces. The formula to find the area of a rectangle is length * width. Two of the rectangular faces have a length of 10 cm and a width of 5 cm. The third rectangular face has a length of 5 cm and a width of 4 cm. Therefore, the total area of the rectangular faces is:
2*(10 cm * 5 cm) + 5 cm * 4 cm
= 2*(50 cm^2) + 20 cm^2
= 100 cm^2 + 20 cm^2
= 120 cm^2
Finally, to find the total surface area of the net of the triangular prism, we add the areas of the triangular and rectangular faces:
20 cm^2 + 120 cm^2 = 140 cm^2
Therefore, the surface area of the net of the triangular prism is 140 cm^2.