Cubes - diff

Second cubes edge is 2 cm longer than the edge of the first cube. Volume difference blocks is 728 cm3. Calculate the sizes of the edges of the two dice.

Correct result:

a =  10 cm
b =  12 cm

Solution:

(a+2)3−a3=728 (a+2)(a2+4a+4)−a3=728 6a2+12a+8=728 a1,2=−q±D2p=−12±1742412 a1,2=−12±13212 a1,2=−1±11 a1=10 a2=−12 a>0 a=10 b=a+2=12

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