Original 63974

If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm2. Find the edge length and volume of the original cube.

Correct answer:

a =  19.6039 cm
V =  7534.056 cm3

Step-by-step explanation:

S = 6 a2 q=100%30%=110030=0.7   1176 = 6a2  6(q a)2  1176 = 6a2  6q3 a2  1176 = 6 a2 (1 q2)  a=66 q21176=66 0.721176=19.6039 cm
V=a3=19.603937534.056 cm3   Verifying Solution:  S1=6 a2=6 19.60392=17392002305.8824 cm2 b=q a=0.7 19.603913.7227 cm  S2=6 b2=6 13.72272=17192081129.8824 cm2  x=S1S2=17392001719208=173920019208=1719992=1176 cm2

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