Apply the technique of using nets to find the surface area of this triangular prism. Your answer should have two decimal places.
measurements: base: 13, height: 7.48, width: 17, width: 15.
(1 point)
Responses
700.40 cm2
700.40 cm squared
97.24 cm2
97.24 cm squared
573.24 cm2
573.24 cm squared
603.16 cm2
603.16 cm squared
To find the surface area of a triangular prism using nets, we need to find the areas of each of the faces and then add them together.
The triangular faces have an area of 1/2 * base * height, so each triangular face has an area of 1/2 * 13 * 7.48 = 48.62 cm^2. Since there are two triangular faces, their combined area is 2 * 48.62 = 97.24 cm^2.
The rectangular faces have an area of length * width, so each rectangular face has an area of 17 * 15 = 255 cm^2. Since there are three rectangular faces, their combined area is 3 * 255 = 765 cm^2.
Adding the areas of the triangular and rectangular faces, we get 97.24 + 765 = 862.24 cm^2.
Therefore, the surface area of the triangular prism is 862.24 cm^2.
Therefore, the correct answer is:
700.40 cm2