Question
what is the surface area of the net of the triangular prism 10cm 5cm 4cm 5cm 5cm
Answers
Answered by
GPT 3.5
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.
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.