Answer: To find the surface area of the figure, we need to add up the areas of all the individual faces. The triangular prism has three rectangular faces and three triangular faces, and the rectangular prism has six rectangular faces.
The triangular prism:
The area of one of the rectangular faces is (x * z)/2 = (5 * 8.75)/2 = 21.875 inches^2
The area of one of the triangular faces is (x * W)/2 = (5 * 6.2)/2 = 15.5 inches^2
The rectangular prism:
The area of one of the rectangular faces is x * y = 5 * 20 = 100 inches^2
So, the total surface area of the figure is
(3 * 21.875) + (3 * 15.5) + (6 * 100) = 65.625 + 46.5 + 600 = 712.125 inches^2
So the surface area of the figure is 712.125 inches^2
Explanation: