Question

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

Answer 1

Answer: The surface area of the composite solid is 529.7 cm².

Explanation:

Since we have given that

Length of cuboid = 11 ft

Breadth of cuboid = 8 ft

Height of cuboid = 6 ft

There is a cylinder of radius 4 ft and height 5 ft are put over the solid.

So, Surface area of composite solid = 2(bh+lh)+lb+(lb-Area of base of cylinder)

`=2(8* 6+11* 6+11* 8)-\pi r^2+2\pi rh+\pi r^2\\\\=2(48+22+88)+2\pi rh\\\\=2* 202+2* (22)/(7)* 4* 5\\\\=404+125.71\\\\=529.71\ cm^2`

Hence, the surface area of the composite solid is 529.7 cm².