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The width, length, and height of a rectangular prism are each increased by 10%. What is the percent increase in the surface area of the prism? Express your answer to the nearest whole number.

 May 6, 2021
 #1
avatar+363 
+1

(1.13-1) x 100%=33 %

 May 6, 2021
 #2
avatar+121055 
+2

The  scale factor =   (1.1)

 

If  we  let the  original surface  area = A

 

Then the new surface  area = A (scale factor)^2   =  A ( 1.1)^2 =  1.21A

 

So

 

The %  increase in the surface area   =

 

(1.21 A  -  A)                 A  ( 1.21  - 1)

__________  =           ___________  =      .21  =  21%

       A                                 A

 

 

cool cool cool

 May 6, 2021

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