Question

The dimensions of a godown are $40\mathrm{m},25\mathrm{m}\mathrm{and}10\mathrm{m}$. If it is filled with cuboidal boxes each of dimensions $2\mathrm{m}\times 1.25\mathrm{m}\times 1\mathrm{m}$, then the number of boxes will be

• A. $1800$
• B. $2000$
• C. $4000$
• D. $8000$

Answer 1

The correct option is C

$4000$

Explanation for the correct option :

Determine the volume of the godown and each cubical box.

It is known that the volume of the cubical shapes is the product of length, width and height of the cubical shape. Determine the volume of the godown:

$\begin{array}{rcl}{V}_{\mathrm{godown}}& =& 40\times 25\times 10\\ & \Rightarrow & V_{\mathrm{godown}}=10000\end{array}$

Determine the volume of the cubical box:

$\begin{array}{rcl}{V}_{\mathrm{box}}& =& 2\times 1.25\times 1\\ & \Rightarrow & V_{\mathrm{box}}=2.5\end{array}$

So, the volume of godown is $10,000{\mathrm{m}}^3$ and the volume of each cubical box is $2.5{\mathrm{m}}^3$.

Determine the number of cubical boxes.

Divide the volume of godown, $10,000{\mathrm{m}}^3$ by the volume of each cubical box, $2.5{\mathrm{m}}^3$ to determine the number of cubical boxes:

$\begin{array}{rcl}\mathrm{number}& =& \frac{10,000}{2.5}\\ & \Rightarrow & \mathrm{number}=4000\end{array}$

So, the number of boxes is $4000$.

Thus, the correct option is (C).

Explanation for the incorrect options.

Since the number of boxes is $4000$, the options (A), (B), and (D) are incorrect.

Thus, the correct option is (C).