Question
what is the surface are of the triangular prism? round the answer to the nearest tenth the numbers are 8, 8, and 6.9
Answers
GPT 3.5
To find the surface area of a triangular prism, we need to find the area of each of the three faces and then add them together.
1. The area of the two triangles:
Since the base of the triangle is 8 and the height is 6.9, the area of one triangle is:
(1/2) * 8 * 6.9 = 27.6
Since there are two triangles, the total area of the triangles is:
2 * 27.6 = 55.2
2. The area of the three rectangles:
Since the length of the rectangles is 8 and the width is 6.9, the area of one rectangle is:
8 * 6.9 = 55.2
Since there are three rectangles, the total area of the rectangles is:
3 * 55.2 = 165.6
Therefore, the total surface area of the triangular prism is the sum of the area of the triangles and rectangles:
55.2 + 165.6 = 220.8
Rounded to the nearest tenth, the surface area of the triangular prism is 220.8 square units.
1. The area of the two triangles:
Since the base of the triangle is 8 and the height is 6.9, the area of one triangle is:
(1/2) * 8 * 6.9 = 27.6
Since there are two triangles, the total area of the triangles is:
2 * 27.6 = 55.2
2. The area of the three rectangles:
Since the length of the rectangles is 8 and the width is 6.9, the area of one rectangle is:
8 * 6.9 = 55.2
Since there are three rectangles, the total area of the rectangles is:
3 * 55.2 = 165.6
Therefore, the total surface area of the triangular prism is the sum of the area of the triangles and rectangles:
55.2 + 165.6 = 220.8
Rounded to the nearest tenth, the surface area of the triangular prism is 220.8 square units.