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 answer:

a =  10 cm
b =  12 cm

Step-by-step explanation:

(a+2)3a3=728 (a+2)(a2+4a+4)a3=728 6a2+12a+8=728 a1,2=2pq±D=1212±17424 a1,2=1212±132 a1,2=1±11 a1=10 a2=12 a>0 a=10 b=a+2=12

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