To calculate the surface area of the net of the triangular prism, we need to find the areas of each face and add them together.
1. The area of the front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 16m * 15m
Area = 120 square meters
2. The area of the right rectangular face:
Area = length * width
Area = 17m * 11m
Area = 187 square meters
3. The area of the left rectangular face (same as right rectangular face):
Area = 17m * 11m
Area = 187 square meters
Now, we add the areas of all three faces together:
120 square meters (front triangle) + 187 square meters (right rectangle) + 187 square meters (left rectangle) = 494 square meters
Therefore, the surface area of the net of the triangular prism is 494 square meters.
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?
779 square meters
822 square meters
768 square meters
790 square meters
5 answers
choose from one of the responses
768 square meters
use the image described 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 of the triangle measures 10 centimeters. The right side of the triangle also measures 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 6 centimeters. The base of the triangle measures 8 centimeters.
what is the missing length L of the triangular prism if the surface area is 524 square centimeters?
16 cm
8 cm
10 cm
17 cm
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 of the triangle measures 10 centimeters. The right side of the triangle also measures 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 6 centimeters. The base of the triangle measures 8 centimeters.
what is the missing length L of the triangular prism if the surface area is 524 square centimeters?
16 cm
8 cm
10 cm
17 cm
To find the missing length L of the triangular prism, we first need to calculate the surface area of the net of the prism and then solve for the missing length.
1. The area of the front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 8cm * 6cm
Area = 24 square centimeters
2. The area of the right rectangular face:
Area = length * width
Area = L * 10cm
3. The area of the left rectangular face (same as right rectangular face):
Area = L * 10cm
Now, we add the areas of all three faces together and set it equal to the given surface area of 524 square centimeters:
24 square centimeters (front triangle) + 2L * 10 square centimeters (right and left rectangles) = 524 square centimeters
24 + 20L = 524
20L = 500
L = 500 / 20
L = 25
Therefore, the missing length L of the triangular prism is 25 centimeters. The options provided do not include this value, so the closest option would be 16 cm.
1. The area of the front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 8cm * 6cm
Area = 24 square centimeters
2. The area of the right rectangular face:
Area = length * width
Area = L * 10cm
3. The area of the left rectangular face (same as right rectangular face):
Area = L * 10cm
Now, we add the areas of all three faces together and set it equal to the given surface area of 524 square centimeters:
24 square centimeters (front triangle) + 2L * 10 square centimeters (right and left rectangles) = 524 square centimeters
24 + 20L = 524
20L = 500
L = 500 / 20
L = 25
Therefore, the missing length L of the triangular prism is 25 centimeters. The options provided do not include this value, so the closest option would be 16 cm.
1 answer