Surface Area of Composite 3D Figures Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Use the image to answer the question. What is the total surface area of the figure? (1 point) m2

Answer 1

To find the total surface area of the figure, we need to find the surface area of each individual shape and then add them together.

The figure is made up of a rectangular prism and a triangular prism.

Surface area of rectangular prism:
2lw + 2lh + 2wh
= 2(5)(3) + 2(5)(4) + 2(3)(4)
= 30 + 40 + 24
= 94 m^2

Surface area of triangular prism:
Base area + lateral area
= (1/2)(3)(4) + 3(3+4+5)
= 6 + 36
= 42 m^2

Total surface area = 94 m^2 + 42 m^2
= 136 m^2

Therefore, the total surface area of the figure is 136 m^2.