for a triangular prism, the areas of the lateral faces are 18in^2, 26in^2 and 34in^2. if the area of the base is 16in^2, find the total area of the prism.
total area=2*areabase+18*26+18*34+26*34
To find the total area of a triangular prism, we need to calculate the sum of the lateral surface area and the base area.
In this case, you're given the lateral surface areas of three faces: 18in^2, 26in^2, and 34in^2. To find the total lateral surface area, add these values together:
18in^2 + 26in^2 + 34in^2 = 78in^2
Now, we have the lateral surface area, but we also need the area of the base, which is given as 16in^2.
To find the total area of the triangular prism, we add the lateral surface area and the base area:
Total area = Lateral surface area + Base area
Total area = 78in^2 + 16in^2
Total area = 94in^2
Therefore, the total area of the triangular prism is 94in^2.