what is the surface area of the triangular prism? 8 by 8 by 8 by 6 by 6.9

Answer 1

To find the surface area of a triangular prism, we need to calculate the area of all its faces and then sum them up.

Given dimensions:
Base of the triangle = 8 cm
Height of the triangle = 6 cm
Length of the prism = 8 cm
Width of the prism = 6.9 cm

1. Calculate the area of the two triangular bases:
Area of a triangle = 1/2 * base * height
Area of one triangular base = 1/2 * 8 * 6 = 24 sq. cm
Area of both triangular bases = 2 * 24 = 48 sq. cm

2. Calculate the area of the three rectangular faces:
Area of a rectangle = length * width
Area of one rectangular face = 8 * 6.9 = 55.2 sq. cm
Area of all three rectangular faces = 3 * 55.2 = 165.6 sq. cm

3. Sum up the areas of all faces:
Total surface area = Sum of the areas of the triangular bases and rectangular faces
Total surface area = 48 + 165.6 = 213.6 sq. cm

Therefore, the surface area of the triangular prism is 213.6 square cm.