1.

1). 484 cm32). 625 cm33). 729 cm34). Cannot be determined

Answer»

Let the side of the ORIGINAL cube = ‘X’ cm

Side of the new cube = (x - 4) cm

Difference between the original and new volume = 604

x3 - (x - 4)= 604

⇒ x3 - (x+ 48X - 12x2 - 43) = 604

⇒ x3 - (x+ 48x - 12x2 - 64) = 604

⇒ x3 - x3- 48x + 12x2 + 64 = 604

⇒ 12x- 48x + 64 - 604 = 0

⇒ 12x2 - 48x - 540 = 0

⇒ x2 - 4x - 45 = 0

⇒ x2 - 9X + 5x - 45 = 0

⇒ x(x - 9) + 5(x - 9)= 0

⇒ (x + 5) (x - 9) = 0

⇒ (x + 5) = 0 or (x - 9) = 0

⇒ x = -5 or x = 9

Volume = (Side)3 = (9)3 = 729 cm3

∴ Volume of the original cube = 729 cm3



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