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- Surface Areas and Volumes - Exercise 13.9

A godown measures 40 m x 25 m x 15 m. Find the maximum number of wooden crates each

measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown.

Answer:

From the statement, we have

Length of the godown = 40 m

Breadth = 25 m

Height = 15 m

Whereas,

Length of the wooden crate = 1.5 m

Breadth = 1.25 m

Height = 0.5 m

Since godown and wooden crate are in cuboidal shape. Find the volume of each using formula, V = lbh.

Now,

\begin{aligned} &\text { Volume of godown }=(40 \times 25 \times 15) \mathrm{m}^{3}=10000 \mathrm{m}^{3}\\ &\text { Volume of a wooden crate }=(1.5 \times 1.25 \times 0.5) \mathrm{m}^{3}=0.9375 \mathrm{m}^{3} \end{aligned}

Let us consider that, n wooden crates can be stored in the godown, then

Volume of n wooden crates = Volume of godown

0.9375 x n = 10000

Or n = 10000/0.9375 = 10666.66

Hence, the number of wooden crates that can be stored in a godown is 10666.

"hello students welcome to lido qna video
session i am sef your math tutor and
question for today is
the codon measures 40 meter into 25
meter into 15 meter
find the maximum number of woods crates
each measuring
15 1.5 meter into 1.25 meter
into 0.5 meter that can be stored in a
go down
so here first of all let us see what
information is given to us from the
question
from the statement we have length of the
go down to be equal to 40 meter
breath is 25 meter
and height is 15 meter
whereas you can see for the wooden crate
length is
one point five meter
breath for the wooden crate is 1.25
meter
and height for the wooden grate is 0.5
meter
now since the go down and wooden grate
are in cubital shape
find the volume of each using formula
v is equal to length into breadth into
height that is volume
you have to find volume to multiply
length and height
for each one of them so first of all let
us see for go down
volume of go down
is equal to length into
breath into height this is for go down
so substitute their values that is 40
into 25 into 50
and that is coming like 10 000
10 000 meter
this is your 10 000 meter cube actually
there is volume so volume of go down
is 10 000 meter cube
now you can see for the second thing
volume of the wooden grate
this can be also given by the same
formula that is length into breadth into
height
but here length breath and height you
have to consider for the wooden crate
that is given
so 1.5 into 1.25
into 0.5 for the wooden grid
you will get volume
to be equal to 0.9375
and this meteor meter cube
remember units are in meter therefore
meter cube
now let us read the question again
find the maximum number of wood crates
each measuring 1.5 meter 1.25 meter one
0.5 meter that can be stored in a go
down
that can be stored in a go down so here
let us consider that and move crates can
be stored in the go down
then volume of anwood crates will be
equal to
volume of go down
so 0.9375
into n number of crates will be equal to
10 000.
10 000 is the volume of go down so
and can be found as 10 000
divided by 0.9375
and that is 1 0 triple 6.66
that is your value of n
now n comes out to be 10 666.66
hence the number of wooden trades that
can be stored in a bow down is
10 666
remember we don't have to consider
decimal points while considering the
number
number of crates so the number of trades
that can be stored in a grow down
is one zero six six six ten thousand six
hundred and sixty six
this is your final answer if you have
any query you can drop it in our comment
section
and please subscribe to our channel for
more such q a thank you for watching"

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