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
790 square meters
790 square meters
822 square meters
822 square meters
768 square meters
768 square meters
779 square meters
779 square meters
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The surface area of the net of the triangular prism can be calculated by finding the area of each individual face and then adding them together.
Front triangular face area = (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters
Right rectangular face area = length x width = 17 x 11 = 187 square meters
Left rectangular face area = length x width = 17 x 11 = 187 square meters
Top triangular face area = (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters
Bottom rectangular face area = length x width = 17 x 11 = 187 square meters
Back triangular face area = (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters
Total surface area = 120 + 187 + 187 + 120 + 187 + 120 = 921 square meters
Therefore, the surface area of the net of the triangular prism is 921 square meters.
a b c or d
Sorry about that, the correct answer based on the options provided is:
c) 768 square meters