+0  
 
0
394
1
avatar

a cube has a square hole all the way through it. if the volume of wood used to construct the cube is 3072 mm^3, what are the dimensions of the cube and the hole?

 

Guest Jul 21, 2017
 #1
avatar+87564 
+1

 

 

The volume of the solid cube is given by :

 

(4x)^3  =  3072 mm^3   simplify

 

64x^3  =  3072  divide both sides by 64

 

x^3  = 48   take the cube root of both sides

 

x = ∛48 mm =  2∛6 mm

 

So each side of the cube is   just   4x  =   4 ( 2∛6 mm )  =  8 ∛6 mm 

 

And the volume of the square hole is just the dimensions 2x * 2x * 4x  

 

(2x)^2 * 4x  =  16 x^3 =  16 ( ∛48)^3  =  16 * 48  = 768 mm^3 

 

 

cool cool cool

CPhill  Jul 21, 2017

21 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.