Question

How many 6 cm cubical boxes can be cut out from a cube of side 24 cm
$6 \times 24$
​

Answer 1

Answer:

64 boxes can be cut from the cube.

Step-by-step explanation:

Dimensions of  cubical boxes to be cut = 6cm

⇒ Volume of cubical boxes = S x S x S = S³

= 6³

Dimensions of cube = 24cm

⇒ Volume of cube= S x S x S = S³

= 24³

No. of boxes that can be cut out = volume of cube/ volume of cubical boxes

= 24³/6³

= 13824/216

= 64

OR

= 24³/6³

= 24 x 24 x 24/ 6 x 6 x 6

= 4 x 4 x 4

= 64

∴ 64 boxes can be cut from the cube.

                Hope it is helpful. Take care.