surface area of triangular prisms quick check unit 7 lesson 9 using the net of the triangluar prism, what is its surface area

1 answer

To find the surface area of a triangular prism, we need to calculate the area of all its faces and then add them up.

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2 * base area of the triangle + perimeter of the base * height of the prism

The net of a triangular prism consists of 5 faces - 2 triangular bases and 3 rectangular sides.

To find the surface area, we first need to calculate the area of the triangular bases. The formula for the area of a triangle is:

Area = 1/2 * base * height

Once we have the area of the base triangles, we can calculate the perimeter of the base by adding the lengths of all three sides of the triangle. Then, we multiply the perimeter by the height of the prism.

Finally, we add the areas of the two triangular bases to the area of the three rectangular sides to find the total surface area of the triangular prism.

I hope this helps! Let me know if you have any other questions.