A net of a triangular prism has 3 rectangles with these measurements 48 inches ^2, center 64, ^2 and right is 80 inches ^2 the two triangles has a length of 6 inches. What is the area of the triangular base
To find the area of the triangular base, we need to add up the areas of the 3 rectangles and then divide by the height.
Area of the left rectangle = 48 inches^2
Area of the center rectangle = 64 inches^2
Area of the right rectangle = 80 inches^2
Total area of the rectangles = 48 + 64 + 80 = 192 inches^2
Since the two triangles have a length of 6 inches, the total height of the triangular prism is 2 * 6 = 12 inches.
Now, we can calculate the area of the triangular base by dividing the total area of the rectangles by the height of the prism:
Area of the triangular base = Total area of rectangles / Height of prism
Area of the triangular base = 192 inches^2 / 12 inches
Area of the triangular base = 16 inches^2
Therefore, the area of the triangular base is 16 square inches.