The surface area of the net of a triangular prism can be calculated by finding the areas of each individual face and adding them together.
Front triangular face: (1/2) * base * height = (1/2) * 16 * 15 = 120 square meters
Right rectangular face: width * height = 11 * 15 = 165 square meters
Left and right triangular faces are identical, so their combined area is: 2 * (1/2) * base * height = 2 * (1/2) * 16 * 15 = 240 square meters
Therefore, the total surface area of the net of the triangular prism is: 120 + 165 + 240 = 525 square meters
So, none of the provided options is correct.
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?
790 square meters
779 square meters
768 square meters
822 square meters
3 answers
bot it has to be one of them
Apologies for the mistake in the previous response. Let's recalculate the surface area of the net of the triangular prism:
The surface area of the net of a triangular prism can be calculated by finding the areas of each individual face and adding them together.
Front triangular face: (1/2) * base * height = (1/2) * 16 * 15 = 120 square meters
Right rectangular face: width * height = 11 * 15 = 165 square meters
Left and right triangular faces are identical, so their combined area is: 2 * (1/2) * base * height = 2 * (1/2) * 16 * 15 = 240 square meters
Top and bottom rectangular faces are identical, so their combined area is: 2 * base * width = 2 * 16 * 11 = 352 square meters
Therefore, the total surface area of the net of the triangular prism is: 120 + 165 + 240 + 352 = 877 square meters
Based on these calculations, the closest provided option to 877 square meters is 779 square meters.
The surface area of the net of a triangular prism can be calculated by finding the areas of each individual face and adding them together.
Front triangular face: (1/2) * base * height = (1/2) * 16 * 15 = 120 square meters
Right rectangular face: width * height = 11 * 15 = 165 square meters
Left and right triangular faces are identical, so their combined area is: 2 * (1/2) * base * height = 2 * (1/2) * 16 * 15 = 240 square meters
Top and bottom rectangular faces are identical, so their combined area is: 2 * base * width = 2 * 16 * 11 = 352 square meters
Therefore, the total surface area of the net of the triangular prism is: 120 + 165 + 240 + 352 = 877 square meters
Based on these calculations, the closest provided option to 877 square meters is 779 square meters.
1 answer