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FInd the volume and surface area of this object: 

 Mar 11, 2021
 #1
avatar+128407 
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In the "front"  we  have  a  6 - 8  - 10   right triangle

 

The area of  this  triangle  =  (1/2)(6 * 8)  =   24

 

The base is a   10 -  24  - 26    right triangle

 

The  area  of  this triangle  = (1/2) ( 10 * 24)  =  120

 

Another  triangle is one with a base  of 24  and a  slant height of  6.....its area   (1/2) (24 * 6)  = 72

 

And  the triangle  at the "back"  has a base of 26  and a height of  8

Its area =  (1/2)(26)(8)  =  104

 

So......the total surface area =  (24 + 120  +  72  + 104)   =  320 in^2

 

 

The volume=   (1/3)  area of base * height =   (1/3) (120)( 8) =  320 in^3

 

 

cool cool cool

 Mar 11, 2021

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