When finding the volume of a triangle prism first we must find the area of the base. What is the area of the base of the triangle prism? Height 3cm length 7cm width 2cm
To find the area of the base of the triangular prism, we need to find the area of the triangle that forms the base.
First, we need to calculate the semi-perimeter of the triangle:
Perimeter = 3 + 7 + 2 = 12
Semi-perimeter = Perimeter / 2 = 12 / 2 = 6
Next, we can calculate the area of the triangle using Heron's formula:
Area = sqrt(s * (s - 3) * (s - 7) * (s - 2))
Area = sqrt(6 * (6 - 3) * (6 - 7) * (6 - 2))
Area = sqrt(6 * 3 * -1 * 4)
Area = sqrt(72)
Therefore, the area of the base of the triangular prism is approximately 8.49 square cm.