What is the surface area of the triangular prism whose net is shown? the lengths are 2 cm, 2.5 cm, 1 cm, 2.5 cm, 3 cm.
To find the surface area of a triangular prism, we need to find the area of each face and then add them all together.
First, let's find the area of the two triangular faces. The formula for the area of a triangle is 1/2 * base * height.
For the triangle with base 2.5 cm and height 2 cm:
Area = 1/2 * 2.5 cm * 2 cm = 2.5 cm^2
For the triangle with base 3 cm and height 2.5 cm:
Area = 1/2 * 3 cm * 2.5 cm = 3.75 cm^2
Now let's find the areas of the three rectangle faces. The formula for the area of a rectangle is length * width.
For the rectangle with dimensions 2.5 cm and 1 cm:
Area = 2.5 cm * 1 cm = 2.5 cm^2
For the rectangle with dimensions 2.5 cm and 1 cm:
Area = 2.5 cm * 1 cm = 2.5 cm^2
For the rectangle with dimensions 3 cm and 1 cm:
Area = 3 cm * 1 cm = 3 cm^2
Now, let's add up the areas of all the faces to get the total surface area of the triangular prism:
Total Surface Area = 2.5 cm^2 + 3.75 cm^2 + 2.5 cm^2 + 2.5 cm^2 + 3 cm^2 = 14.25 cm^2
Therefore, the surface area of the triangular prism is 14.25 cm^2.