Question

A cubical box of volume 13824 cubic com is put in a cubical room of side 24m.
how many such boxes can be put in the room? What is the dimension of the
box?
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Answer 1

Answer:

STEP BY STEP EXPLANATION:

Given , Volume = 13.824m3

We know that

Volume of a cube =(side)3

Let the side of the cube = x

=>x3=13.824

x=13.824−−−−−√3

x=2.4

Hence the side of the cube =2.4m

Answer : 2.4m

Answer 2

Answer:

1 box can be put and dimension of box is 24 m

Step-by-step explanation:

Volume of cubical box = $Side^3$

We are given that volume of cubical box is 13824 cubic m

So, $Side^3=13824$

$Side=\sqrt[3]{13824}$

$Side=24$

Now A cubical box of volume 13824 cubic com is put in a cubical room of side 24m.

Volume of room = $24^3 = 13824$

So, boxes can be put in the room= $\frac{13824}{13824}=1$

Hence 1 box can be put and dimension of box is 24 m