Apply the technique of using nets to find the surface area of this triangular prism. Your answer should have two decimal places. (1 point) 700.40cm^(2) 603.16cm^(2) 97.24cm^(2) 573.24cm^(2)

Answer 1

To find the surface area of a triangular prism, we need to find the area of all the surfaces and add them up.

Surface area of a triangular prism = 2*(area of triangular base) + (perimeter of base)*(height of prism)

Given that the base of the triangular prism has a base of 12 cm, height of 4 cm, and a triangle has a base of 6 cm and height of 4 cm.

Area of triangular base = 1/2 * base * height
Area of triangular base = 1/2 * 6 cm * 4 cm = 12 cm^2

Perimeter of base = sum of all three sides
Perimeter of base = 12 cm + 12 cm + 6 cm = 30 cm

Height of the prism = 4 cm

Now, plug these values into the formula:

Surface area = 2*(12 cm^2) + (30 cm)*(4 cm)
Surface area = 24 cm^2 + 120 cm^2
Surface area = 144 cm^2

Therefore, the surface area of the triangular prism is 144 cm^2.

Rounded to two decimal places, the answer is 144.00 cm^2.