Question

NCERT MATHSIGHT 8
CHAPTER 12 EX.12.3
4. A cubical box of cardboard has a edge 4.8 m long. How many closed cubodial boxes of dimension 24 cm * 12 cm* 10 cm can be made out of it ?

Answer 1

Answer:

38400

Step-by-step explanation:

There are 38400 closed cuboidal boxes.

Step-by-step explanation:

Since we have given that

Length of cubical box = 4.8 m

Length of boxes = 24 cm

Width of boxes = 12 cm

Height of boxes = 10 cm

So, we need to find the number of closed cuboidal boxes.

So, it becomes,

\begin{gathered}\dfrac{\text{Volume of cubical boxes}}{\text{Volume of cuboidal boxes}}\\\\=\dfrac{4.8\times 4.8\times 4.8}{0.24\times 0.12\times 0.10}\\\\=38400\end{gathered}

Volume of cuboidal boxes

Volume of cubical boxes

=

0.24×0.12×0.10

4.8×4.8×4.8

=38400

Hence, there are 38400 closed cuboidal boxes.

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