Original 63984

If we reduce the length of the cube edge by 30%, this reduced cube has an area of ​​1176 cm2. Specify the edge length and volume of the original cube.

Correct answer:

a =  20 cm
V =  8000 cm3

Step-by-step explanation:

S = 6 a2 q=100%30%=110030=0.7   1176 = 6b2  b=61176=14 cm  b = q a  a=b/q=14/107=14:107=14 710=714 10=7140=20 cm
V=a3=203=8000=8000 cm3   Verifying Solution:  S1=6 a2=6 202=2400 cm2 S2=6 b2=6 142=1176 cm2

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