Question

6. A cubical box of volume 13,824 cm3, is put in a cubical room of side 2.4m. How many such boxes can
be put in the room? What is the dimension of the box.​

Answer 1

Answer:

1000 boxes can be put and the dimension of the box is 24 m.

Step-by-step explanation:

Volume of cubical box =  side * side * side

We are given that the volume of the cubical box is 13824 cubic cm

So,

13824 = side * side * side

Therefore,

side = ∛13824

side = 24 cm

Now A cubical box of volume 13824 cubic com is put in a cubical room of side 2.4m.

Volume of room = 2.4 * 2.4 * 2.4 = 13.284

So, boxes can be put in the room = 13284 / 13.284 = 1000

1000 boxes can be put and the dimension of the box is 24 m.

HOPE IT HELPS YOU...

Answer 2

Answer:

Area of the cubical room is (a)^3

= (2.4)^3

= 13.824 m^3

Converting m^3 to cm^3

1m^3 = 1000000cm^3

13.824m^3 = 13.824*1000000

= 138240000 cm^3

No. of cubes with area 13824 cm^3 which can come in the room is

138240000/13.824

= 1000

Therefore, the no. of cubes which can come in the room is 1000 boxes.

Therefore the dimension of the box will be 24m

Step-by-step explanation:

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