A triangular prism Has a length of 4.268 meters , a width of 2.134 meters and a height of 2.134 meters. What is the surface area
To find the surface area of a triangular prism, we need to calculate the areas of all the faces and then add them together.
The triangular faces make up two of the three long faces of the prism.
First, let's find the area of one triangular face. The formula for the area of a triangle is (base * height) / 2. In this case, the base and height are both 2.134 meters.
So, the area of one triangular face is (2.134 * 2.134) / 2 = 4.551076 square meters.
Since there are two triangular faces, the total area of the triangular faces is 2 * 4.551076 = 9.102152 square meters.
Next, let's find the area of one rectangular face. The formula for the area of a rectangle is length * width. In this case, the length is 4.268 meters and the width is 2.134 meters.
So, the area of one rectangular face is 4.268 * 2.134 = 9.107112 square meters.
Since there is one rectangular face, the area of the rectangular face is 9.107112 square meters.
Adding the areas of the triangular faces and the rectangular face, we get:
9.102152 + 9.107112 = 18.209264 square meters.
Therefore, the surface area of the triangular prism is 18.209264 square meters.