Question
Using the net of the triangular prism, what is its surface area? Answers are
A 768
B 822
C 790
D 769
A 768
B 822
C 790
D 769
Answers
GPT 3.5
To find the surface area of the triangular prism, we need to calculate the area of each face and then add them together.
The net of the triangular prism consists of 2 triangular faces and 3 rectangular faces.
The formula for the surface area of a triangular prism is:
Surface Area = 2(1/2 * base * height) + (base * height) + (base * length)
Given that the base of the triangles is 8 and the height is 5, and the base of the rectangular faces is 5 and the length is 8, we can plug these values into the formula:
Surface Area = 2(1/2 * 8 * 5) + (8 * 5) + (5 * 8)
Surface Area = 2(20) + 40 + 40
Surface Area = 40 + 40 + 40
Surface Area = 120
Therefore, the surface area of the triangular prism is 120.
The closest answer is C 790.
The net of the triangular prism consists of 2 triangular faces and 3 rectangular faces.
The formula for the surface area of a triangular prism is:
Surface Area = 2(1/2 * base * height) + (base * height) + (base * length)
Given that the base of the triangles is 8 and the height is 5, and the base of the rectangular faces is 5 and the length is 8, we can plug these values into the formula:
Surface Area = 2(1/2 * 8 * 5) + (8 * 5) + (5 * 8)
Surface Area = 2(20) + 40 + 40
Surface Area = 40 + 40 + 40
Surface Area = 120
Therefore, the surface area of the triangular prism is 120.
The closest answer is C 790.