Question

the dimensions of a box are 60cm× 54cm× 30cm. how many small cubes og side 6cm can be placed in the box?

Answer 1

Volume of box=I*b*h
=(60*54*30) cm^3
=97200 cm^3
Volume of a cube=Side*Side*Side
=(6*6*6) cm^3
=216 cm^3
Number of cubes can be placed in the box = Volume of cuboid/Volume of cube
=97200 cm^3 * 216 cm^3=450

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Answer 2

Answer:

450

Step-by-step explanation:

Side of cube = 6 cm

Volume of cube $= Side ^3$

                          $= 6 ^3$

                          $= 216$

Length of box =60 cm  

Width of box = 54 cm

Height of box =30 cm

So, Volume of Box =$Length \times Breadth \times Height$

                               =$60 \times 54\times 30$

                               =$97200 cm^3$

Number of cubes can be placed in box = $\frac{\text{Volume of box}}{\text{Volume of cube}}$

                                                                         = $\frac{97200}{216}$  

                                                                         = $450$  

Hence 450 cubes can be placed in box.