What is the surface area of the net of the triangular prism? Top is 10cm side is 5cm 4cm with Arrow pointing on dotted line of 5cm on side is 5 cm
To find the surface area of the net of the triangular prism, we need to find the areas of all the individual faces and then sum them up.
The net of a triangular prism consists of 5 faces: 2 triangular faces (the top and bottom of the prism) and 3 rectangular faces (the sides of the prism).
1. Top and Bottom Triangular Faces:
The area of a triangle can be calculated using the formula A = 1/2 * base * height. Since the top and bottom triangles have the same dimensions of base = 10 cm and height = 5 cm, the area of each triangular face is:
A = 1/2 * 10 cm * 5 cm = 25 cm^2
Since there are 2 triangular faces, the total area of the top and bottom triangular faces is:
2 * 25 cm^2 = 50 cm^2
2. Rectangular Faces:
Each rectangular face has the dimensions of length = 5 cm and width = 4 cm, with an arrow pointing across 5 cm. Since there are 3 rectangular faces, the total area of all the rectangular faces is:
3 * (5 cm * 4 cm) = 60 cm^2
Therefore, the total surface area of the net of the triangular prism is:
50 cm^2 (from the top and bottom triangular faces) + 60 cm^2 (from the rectangular faces) = 110 cm^2
So, the surface area of the net of the triangular prism is 110 cm^2.