h = 5m
length 8.5m
width 3 m
To find the surface area of the rectangular prism, you can use the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
l = 8.5m
w = 3m
h = 5m
Substitute the values into the formula:
Surface Area = 2(8.5)(3) + 2(8.5)(5) + 2(3)(5)
Surface Area = 51 + 85 + 30
Surface Area = 166
Therefore, the surface area of the rectangular prism is 166 square meters.
as a trianglar prism
To find the surface area of a triangular prism, we need to calculate the area of each surface and then add them up.
The formula for the surface area of a triangular prism is:
Surface Area = 2bh + Ph
Given:
Base of the triangle (b) = 3m
Height of the triangle (h) = 5m
Perimeter of the base triangle = 8.5m (since perimeter = 2*(base + side))
First, calculate the area of the triangular base:
Area of the triangle = (base * height) / 2
Area of the triangle = (3 * 5) / 2
Area of the triangle = 15 / 2
Area of the triangle = 7.5 square meters
Next, calculate the perimeter of the base triangle:
Perimeter of the triangle = 8.5m
Now, calculate the lateral surface area of the triangular prism:
Surface Area = 2(7.5) + 8.5(5)
Surface Area = 15 + 42.5
Surface Area = 57.5 square meters
Therefore, the surface area of the triangular prism is 57.5 square meters.