To calculate the surface area of a triangular prism, you need to find the areas of the two triangular bases and the three rectangular faces.
First, calculate the area of the two triangular bases:
Area = (1/2) × base × height
For the first triangle: Area = (1/2) × 4m × 6m = 12m^2
For the second triangle: Area = (1/2) × 12m × 5m = 30m^2
Next, calculate the area of the three rectangular faces:
Face 1 (4m x 6m) = 24m^2
Face 2 (4m x 12m) = 48m^2
Face 3 (6m x 12m) = 72m^2
Now, add up all the areas:
12m^2 (first triangle) + 30m^2 (second triangle) + 24m^2 (rectangular face 1) + 48m^2 (rectangular face 2) + 72m^2 (rectangular face 3) = 186m^2
Therefore, the correct answer is not one of the options provided.
Use the net as an aid to compute the surface area of the triangular prism.
Responses
A 192
192 m 2
B 216
216 m 2
C 240
240 m 2
D 300
the angles are 4m, 6m, 12m, and 5m
1 answer