Answer:
To find the surface area of the composite figure, we need to add the areas of all the faces of the rectangular prism and the triangular prism. We can use the following formulas to find the areas of each face :
Area of a rectangle = length x width
Area of a triangle = 1/2 x base x height
The rectangular prism has six faces: two rectangles with dimensions 8 cm by 6 cm, two rectangles with dimensions 6 cm by 4 cm, and two rectangles with dimensions 8 cm by 4 cm. The total area of the rectangular prism is:
2 x (8 x 6) + 2 x (6 x 4) + 2 x (8 x 4)
= 96 + 48 + 64
= 208 cm^2
The triangular prism has five faces: three rectangles with dimensions 2 cm by 6 cm, 2 cm by 8 cm, and 6 cm by 8 cm, and two triangles with base 6 cm and height 4 cm. The total area of the triangular prism is:
2 x (1/2 x 6 x 4) + (2 x 6) + (2 x 8) + (6 x 8)
= 24 + 12 + 16 + 48
= 100 cm^2
The surface area of the composite figure is the sum of the areas of the rectangular prism and the triangular prism. Therefore, the surface area is:
208 + 100
= 308 cm^2
This is the answer you need to enter in square centimeters. I hope this helps you solve the problem.