Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side and right side of the triangle measure 17 meters. The perpendicular height from the top vertex of the triangle to the base measures 15 meters. The base of the triangle measures 16 meters. The width of the rectangular face measures 11 meters.
What is the surface area of the net of the triangular prism?
(1 point)
Responses
A. 779 square meters
B. 790 square meters
C. 768 square meters
D. 822 square meters
To find the surface area of the net of the triangular prism, we need to calculate the area of each face and then add them together.
Front triangular face: 1/2 * base * height = 1/2 * 16 * 15 = 120 square meters
Back triangular face: This is identical to the front triangular face, so it is also 120 square meters
Right rectangular face: width * height = 11 * 15 = 165 square meters
Left rectangular face: This is identical to the right rectangular face, so it is also 165 square meters
Top rectangular face: base * width = 16 * 11 = 176 square meters
Bottom rectangular face: This is identical to the top rectangular face, so it is also 176 square meters
Adding up all the areas:
120 (front) + 120 (back) + 165 (right) + 165 (left) + 176 (top) + 176 (bottom) = 922 square meters
Therefore, the surface area of the net of the triangular prism is 922 square meters.
The closest answer choice is:
D. 922 square meters