Question

a wooden crate is 1.8 m long, 1.5 m wide and 1.2 M high is filled with iron cube 6 cm wide find the number of iron cubes that can be fitted in the crate.

Answer 1

Concept:

We know that here, in this question, the volume of the crate = $b*h*wcm^{3}$ and the volume of the cube is $a^{3}$.

Given:

Crate: Hight= 1.8m, breadth= 1.2m, width= 1.5m

To find:

The number of iron cubes that can be fitted in the crate

Solution:

We know that here, in this question, the volume of the crate = $b*h*wcm^{3}$ and the volume of the cube is $a^{3}$.

So, we will first calculate the volume of the crate

$v=b*h*w\\v=1.5*1.8*1.2\\v=3.24cm^{3}$

Now, we will calculate the volume of the cube

$v=a^{3} \\v=6^{3} \\v=216cm^{3}$

Also, the volume of crate= 3.24*10000

and volume of cube= 216*10000

Let the number of cubes be x

Now, the number of iron cubes that can be fitted in the crate=

$No. = 3.24*\frac{10000}{216} \\x= 15000$

∴ The number of iron cubes that can be fitted in the crate is 15000.

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