Which expression can be used to find the surface area of the triangular prism and on the triangular prism we have on the bottom we have 3 feet on the left side. The length is 4 feet on the right side length is 5 feet and on the right side, the bottom is 2 feet, so which expression can be used to find the surface area of the triangular prism?
The expression that can be used to find the surface area of the triangular prism is:
2(base area of triangle) + (perimeter of base)(height)
First, we need to find the base area of the triangular prism. Since the base is a triangle, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 3 * 4
Area = 6 square feet
Next, we need to find the perimeter of the base. The perimeter of a triangle is the sum of all three sides:
Perimeter = 3 + 4 + 5
Perimeter = 12 feet
Finally, we need to find the height of the triangular prism, which is given as 2 feet.
Now we can substitute all the values into the expression:
2(6) + 12(2)
12 + 24
Surface area = 36 square feet
Therefore, the surface area of the triangular prism is 36 square feet.