Question

Three cubes, whose edges are x cm, 8 cm and 10 cm respectively, are melted and recasted into a single cube of edge 12 cm. Find 'x'

Answer 1

hey
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•volume of new cube = (12)^3 = 1728 cm^3

1728 =(x)^3 +(8)^3+(10)^3
1728 = 512+1000+x^3
1728-1512 = x^3
√216 = x
6 = x

•hence x =6 cm

hope helped
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Answer 2

volume of new cube =sum of volume of three cubes.

x3 +8cube +10 cube = 12 cube

x3 +512+1000 = 1728

x3+ 1512= 1728

x3= 1512_ 1728

x3= 216

x = 6

HOPE IT'S HELPFUL ☺