Answer:
2 x 10^3 times
Step-by-step explanation:
-lukelaws
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The correct answer is 10.4...
Hope this helps
identity used is
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
then use
(x+y+z)² = x²+y²+z²+2(xy+yz+xz)
225= 83 + 2(xy+yz+xz)
xy+yz+xz = (225-83)/2
xy+yz+xz= 142/2
xy+yz+xz= 71
ok
now use identity
x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).
now
x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).
= 15[83 - (71)]
= 15×12
=180
The volume of the original cube = 18^3 = 5,832 cubic cm
5,832 / 8 cubes = 729 cubic cm.
Side length = Cubicroot729 = 9
The side length is 9 cm