what is the surface area of a triangular prism? the height is 5.1 the prism length is 30.5 the slant height of the triangle base is 28.4 the base of the triangular prism is 27.9

Answer 1

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

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

First, we need to calculate the base area of the triangle. This can be done using Heron's formula:

s = (27.9 + 27.9 + 28.4) / 2 = 42.1

Base Area = √(42.1 * (42.1 - 27.9) * (42.1 - 27.9) * (42.1 - 28.4)) = 312.91

Next, we calculate the base perimeter:

Base Perimeter = 27.9 + 27.9 + 28.4 = 84.2

Now, we can calculate the surface area of the triangular prism:

Surface Area = 2 * 312.91 + 84.2 * 5.1 = 625.82 + 429.42 = 1055.24

Therefore, the surface area of the triangular prism is 1055.24 square units.