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.
Answers
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:
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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