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Use a formula to find the surface area of each polyhedron described.

(a) a rectangular prism that is 4 feet wide, as tall as it is wide, and twice as long as it is tall 

  _____ ft2 


(b) a regular hexagonal pyramid with a base area of 166.3 square centimeters, a base side length of 8 centimeters, and a slant height of 8 centimeters 

  _____ cm2

 Sep 4, 2018
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(a) a rectangular prism that is 4 feet wide, as tall as it is wide, and twice as long as it is tall 

  _____ ft2 

 

The surface area  is   2 (W*L  + H*L  + W*H )  = 2 (4*8  + 4*8  + 4*4)   = 160 ft^2

 

 

 

(b) a regular hexagonal pyramid with a base area of 166.3 square centimeters, a base side length of 8 centimeters, and a slant height of 8 centimeters 

 

The surface area is given by    :  Area of the base  + Area of  6  conguent triangles forming the sides  =

 

166.3   +  6(1/2)(8)(8)   =    166.3  + 3*64   =   166.3 + 192  = 358.3  cm^2

 

 

 

cool cool cool

 Sep 4, 2018

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