A triangular prism has a height of 1.5 in and a right triangular base with a height of 1.5 in length of 5 in and a hypotenuse measuring 5.2 in what is the prisms surface area
To find the surface area of the triangular prism, we need to calculate the areas of each of the three faces (two triangular faces and three rectangular faces) and add them together.
1. Triangular Faces:
Area of one triangular face = 1/2 * base * height
Area of one triangular face = 1/2 * 1.5 * 5
Area of one triangular face = 3.75 sq. in.
Since there are two triangular faces, the total area of both triangular faces = 2 * 3.75 = 7.5 sq. in.
2. Rectangular Faces:
There are 3 rectangular faces on a triangular prism. The length of each rectangular face is equal to the base of the triangular base, which is 5 in, and the height of each rectangular face is equal to the height of the prism, which is 1.5 in.
Area of one rectangular face = base * height
Area of one rectangular face = 5 * 1.5
Area of one rectangular face = 7.5 sq. in.
Since there are 3 rectangular faces, the total area of all three rectangular faces = 3 * 7.5 = 22.5 sq. in.
Total Surface Area = Total area of two triangular faces + Total area of three rectangular faces
Total Surface Area = 7.5 + 22.5
Total Surface Area = 30 sq. in.
Therefore, the surface area of the triangular prism is 30 square inches.