Cubes - diff

The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm3. Calculate the sizes of the edges of the two dice.

Final Answer:

a =  10 cm
b =  12 cm

Step-by-step explanation:

V1​−V2​=728  cm3  (a+2)3−a3 = 728 (a+2)(a2+4a+4) −a3 = 728  6a2+12a+8=728  6a2+12a−720=0 6=2⋅3 12=22⋅3 720=24⋅32⋅5 GCD(6,12,720)=2⋅3=6  a2+2a−120=0  p=1;q=2;r=−120 D=q2−4pr=22−4⋅1⋅(−120)=484 D>0  a1,2​=2p−q±D​​=2−2±484​​ a1,2​=2−2±22​ a1,2​=−1±11 a1​=10 a2​=−12 a=a1​=10=10 cm

Our quadratic equation calculator calculates it.

b=a+2=10+2=12 cm

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticsolid geometrybasic operations and conceptsUnits of physical quantitiesGrade of the word problem

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