Question

the dimensions of a box of 60 CM X 54 CM x 30 cm how many small cube of side 6 CM can be played in the box

Answer 1

HEY BUDDY..!!

HERE'S THE ANSWER..

______________________________

♠️ A main thing " Volume in this type of questions always remains constant "

▶️ By the above statement the volume after cutting the box , will remain constant .

⏺️ To find number of cubes formed with the box of given ,with the help of following formula.

♠️ Volume of box = number of cubes × vol of a cube

⏺️ Volume of box = length ( l ) × Breadth ( b ) × height ( h )

⏺️l = 60 cm ; b = 54 cm ; h = 30 cm

▶️ Vol of cube = ( side )^2

⏺️ side = 6 cm

✔️ Volume of box = number of cubes × vol of a cube

=> 60 cm × 54 cm × 30 cm = n × ( 6 cm )^3

=> 97,200 cm^3 = n × 216 cm^3

=> [ n = 450 cubes ]✔️✔️

▶️ Number of cubes can be placed is 450

HOPE HELPED .

JAI HIND..

:)

Answer 2

$\bf{\underline{ANSWER}}$

Dimensions of a box = ( 60 × 54 × 30 )cm

Volume = ?

$\bf{\underline{\textit{ VOLUME}}}$

The volume is the amoint of space that a space takes up in three dimensions.

For any cuboid :

Volume = Length × Breadth × Height

V = ( 60 × 54 × 30 )cm^3

V = 97200 cm^3

The volume of the box is 9700 cm^3

For any cube :

Volume = l × l × l cubic units

One side of a cube = 6 cm

V = ( 6 × 6 × 6 )cm^3

V = 216 cm^3

Therefore ,

No. of cubes can be placed in the box = ?

=> Volume of the box / Volume of a cube

=> 97200 cm^3 / 216 cm^3

=> 97200 / 216

=> 450

ANS

$\bf{\underline{\huge{450 \: CUBES \: can \: be \: placed \: in \: the \: box.}}}$

_______________________________

#BE BRAINLY