what is the surface area of the net of the triangular prism with the numbers 5,5,5,4
To find the surface area of the net of a triangular prism, we need to break down the prism into its individual shapes and calculate the area of each shape.
Given the numbers 5, 5, 5, and 4, we can infer that the triangular prism has a base made up of an equilateral triangle with side length 5 units each and a height of 4 units.
To calculate the total surface area of the net:
1. Begin by calculating the area of the two triangular bases:
Area of one equilateral triangle = √3/4 * side^2
Area = √3/4 * 5^2 = √3/4 * 25 = 10.83 units^2
Total area of both triangles = 2 * 10.83 = 21.66 units^2
2. Next, calculate the area of the three rectangular sides:
Area of one rectangular side = length * height
Area = 5 * 4 = 20 units^2
Total area of all three rectangular sides = 3 * 20 = 60 units^2
3. Finally, add the areas of the triangles and rectangles together to find the total surface area:
Total surface area = 21.66 + 60 = 81.66 units^2
Therefore, the surface area of the net of the triangular prism with sides 5, 5, 5, and 4 is 81.66 square units.