the side of a tetrahedron .if the base of each triangle is 8 cm and the height 6.9cm,calculate the surface area
To calculate the surface area of a tetrahedron, we need to find the area of each of its triangular faces and then sum them up.
Given:
Base of each triangle = 8 cm
Height of each triangle = 6.9 cm
The formula for finding the area of a triangle is: Area = (base * height) / 2
Let's calculate the area of one face first and then multiply it by four since a tetrahedron has four equal faces:
Area of one face = (base * height) / 2 = (8 cm * 6.9 cm) / 2
Calculating this expression, we get:
Area of one face = 55.2 cm^2
Since all of the faces are the same, the total surface area of the tetrahedron is:
Surface Area = Area of one face * 4 = 55.2 cm^2 * 4
Calculating this, we get the answer:
Surface Area = 220.8 cm^2
Therefore, the surface area of the tetrahedron is 220.8 cm^2.