Question

5 मी०x7 मी० x 6 मी० आकार के एक लकड़ी के बक्से में 5 सेमी० x7 सेमी० x6
सेमी० आकार के कितने डिब्बे रखे जा सकते हैं?
(1) 21000
(2) 21000000 (3) 1000000 (4) 441000​

Answer 1

Given:

5 मी०x7 मी० x 6 मी० आकार के एक लकड़ी के बक्से में 5 सेमी० x7 सेमी० x6

सेमी० आकार के कितने डिब्बे रखे जा सकते हैं?

To find:

No. of cans

Solution:

We know,

$\boxed{\bold{Volume \:of \:a\:cuboid = length \times breadth \times height}}$

The dimensions of the wooden box:

Length = 5 m

Breadth = 7 m

Height = 6 m

∴ The volume of the wooden box = 5 × 7 × 6 = 210 m³

∵ $\boxed{\bold{1\:cm = \frac{1}{100}\:m }}$

The dimensions of the each can:

Length = 5 cm = 0.05 m

Breadth = 7 cm = 0.07 m

Height = 6 cm = 0.06 m

∴ The volume of the each can = 0.05 × 0.07 × 0.06 = 2.1 × 10⁻⁴ m³

Now,

The required no. of cans that can fit inside the wooden box is,

= $\frac{Volume \:of \:Box}{Volume \:of\:1 \:can}$

= $\frac{210 \:m^3}{2.1 \times 10^-^4\: m^3}$

= $\frac{210\times 10^4}{2.1}$

= $\frac{21 \times 10^6}{21}$

= $10^6$

= $\bold{1000000}$

Thus, the no. of cans that can be kept inside the wooden box is → 1000000.

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