Question

Three solid cubes of edges 6 cm, 10 cm and x cm are melted to form a single cube of edge 12 cm, find the value of x

Answer 1

Volume of 3 cubes = volume of single cube
6^3+10^3+x^3=12^3
216+1000+x^3=1728
x^3=512
x=8

Hope it helps

Answer 2

hello ................
a1 =  6
a2=10
a3=x
A = 12cm

if three cubes are melted to form one cube volume of three cubes equal to big cube

volume of small cubes = volume of big cube
a1³+a2³+a3³=A³
6³+10³+x³=12³
216+1000+x³=1728
1216+x³=1728
x³=1728-1216
x³=512
x=∛512
x=8

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hope this would help you
@Rohit