Question

A big cube is cut into 343 smaller cubes of same side.
If the side of big cube is 21 cm them what was the
side of each smaller cubes?
(a) 2 cm
(b) 1 cm
(c) 25 cm
(d) 3 cm​

Answer 1

Step-by-step explanation:

side of big cube = 21 cm

let the side of small cube be a

therefore,

Volume of big cube = Volume of 343 small cubes

3 x 21 x 21 x 21 = 343 x 3 x a³

3 x 21 x 21 x 21 / 343 x 3 = a³

27 = a³

a = 3

So, the side of small cube is 3 cm

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