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The length of each edge of a cube is decreased by 40%.By what percent does the volume of the cube decrease? Express your answer to the nearest tenth.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

due : tonight at AoPS

 Jun 4, 2020
 #1
avatar+179 
-2

No. I refuse to help you do AoPS homework. If you are TRULY confused, there is an option to ask your peers.

 Jun 4, 2020
 #2
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X=original side

 

original volume= x *x*x= x^3
new volume = .6x * .6x * .6 x = .216x^3.     You should be able to take it from here,   cheeky

 Jun 4, 2020
 #3
avatar+179 
-2

Bruh

Varxaax  Jun 4, 2020
 #4
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well you already did it guest, now we can find what percentage 0.216x^3 is from x^3.

0.216/ 1 = 21.6%

NoWorkNeeded  Jun 4, 2020
 #5
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1-.216 = 0.784= 78.4 % decrease

Guest Jun 4, 2020
 #6
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What is the volume of a cube if the cube diagonal is decreased by 40%?  smiley

Guest Jun 4, 2020
 #7
avatar+1128 
+2

 \(78.4\)is the approximate value of \(\frac{60^3}{100^3}\)

 Jun 4, 2020

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