Question 1044565: Need help to find the total surface area of the composite figures. It is a rectangular prism that is located inside of a cylinder.
Rectangular Prism:
Length: 14ft
Width: 6ft
Height: 14ft
Cylinder:
Radius: 14ft
Height: 14ft
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Is it a cylinder with a prism cut out of it, like this  ?
Top view;  , side view  .
In that case, the inside walls of the hole are the lateral surface of the prism; the ouside curved wall is the lateral surface area of the cylinder, and the top and bottom base areas are the difference of are of cylinder base minus area of prism base.
The area of one base of the cylinder, in square feet is  .
The area of one base of the prism, in square feet is  .
The difference is  for one base , and  for both bases of the composite solid.
The lateral surface area of the cylinder is circumference,  ft , times height. In square ft,
 .
The lateral surface area of the prism is the perimeter of the base,  , times the height. In square feet, it is
 .
The total surface area of the strange solid is
 .
|
|
|
