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Edge of the larger cube = 32 cm

Volume of the larger cube = (32 cm)3 = 32768 cm3

Edge of the smaller cube = 4 cm

Volume of the smaller cube = (4 cm)3 = 64 cm3

Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube.

∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube

⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube

⇒ Total number of smaller cubes = 32768 ÷ 64 = 512

Thus, 512 smaller cubes can be cut from the larger one.

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