Surface area = (2*(base*height) + length*(height+slant height)) for each shape of the composite figure.
For the rectangular prism:
Surface area = (2*(12*8) + 8*(8+15))
Surface area = (192 + 184)
Surface area = 376 sq.ft.
For the right triangular prism:
Surface area = (2*(1/2*base*height) + length*(height+base+slant height))
Surface area = (2*(1/2*8*12) + 8*(12+8+15))
Surface area = (2*(48) + 8*(35))
Surface area = (96 + 280)
Surface area = 376 sq.ft.
Therefore, the total surface area of the composite figure is 376 sq.ft.
Use the picture to find the answer:
The picture shows a composite shape with a height from the base of the rectangualr prismtothe top of the right triangular prism, a height of 8 for the rectangular prism nd a base and lenght of 12 and 8 respectivly. the right triangular prsim has a length of 8, a slant height of 15, and a height and base of 12.
Wha is the surface area of the figure
=ft.2
1 answer