To calculate the surface area of a triangular prism, you need to find the areas of the triangular bases and the three rectangular faces.
First, calculate the area of one triangular base:
Base: 4m
Height: 6m
Area of triangle = 1/2 * base * height
Area = 1/2 * 4m * 6m
Area = 12m²
Next, find the area of the other triangular base, which will be the same:
Area = 12m²
Now, calculate the area of the three rectangular faces:
Rectangular faces:
Height: 12m
Width: 4m, 6m, and 5m
Area = Height * Width
Area = 12m * 4m = 48m²
Area = 12m * 6m = 72m²
Area = 12m * 5m = 60m²
Add all the areas together to find the total surface area:
12m² + 12m² + 48m² + 72m² + 60m² = 204m²
So, the correct response is B) 216 m².
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
choose one
1 answer