What is the surface area of the triangular prism? Round the answer to the nearest tenth. 8cm 8cm 8cm 6.9cm 6cm

Answer 1

The formula to calculate the surface area of a triangular prism is given by:

Surface Area = 2(Base Area) + (Perimeter of Base) x Height

Given that two of the sides of the triangular prism are 8 cm and the third side is 6.9 cm, the base of the triangle would be an isosceles triangle with side lengths 8 cm, 8 cm, and 6.9 cm.

The base area can be calculated as follows:

Base Area = (1/4) x √(2(8)^2 - (6.9)^2)

Base Area ≈ 23.083 cm^2

The perimeter of the base can be calculated as:

Perimeter of Base = 8 + 8 + 6.9 = 22.9 cm

Given that the height of the triangular prism is 6 cm, we can now calculate the surface area:

Surface Area = 2(23.083) + 22.9 x 6

Surface Area ≈ 236.366 cm^2

Rounded to the nearest tenth, the surface area of the triangular prism is approximately 236.4 cm^2.