Apply the technique of using nets to find the surface area of this triangular prism. 7.48 height, 15 base

Answer 1

To find the surface area of the triangular prism, we first need to find the area of each of the faces and then add them all together.

The triangular prism has two triangular faces and three rectangular faces.

First, let's find the area of the triangular faces:
Since the base of the prism is 15 and the height is 7.48, we can use the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 15 * 7.48
Area = 56.1 square units

Now, we have two triangular faces with the same area, so the total area of the triangular faces is 2 * 56.1 = 112.2 square units.

Next, let's find the area of the three rectangular faces:
The base of the triangle is 15 and the height of the prism is 7.48. The three rectangular faces are all the same size and have a width of 15 and a height of 7.48. Therefore, we can calculate the area of one rectangular face:
Area = height * width
Area = 15 * 7.48
Area = 112.2 square units

Since there are three rectangular faces, the total area of the rectangular faces is 3 * 112.2 = 336.6 square units.

Finally, we add the areas of the triangular faces and the rectangular faces to find the total surface area of the prism:
Total Surface Area = 112.2 + 336.6
Total Surface Area = 448.8 square units

Therefore, the surface area of the given triangular prism is 448.8 square units.