Ncert solutions
Our top 5% students will be awarded a special scholarship to Lido.

Surface Areas and Volumes | Surface Areas and Volumes - Exercise 13.5

Question 6

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.

Looking to do well in your science exam ?  
Learn from an expert tutor. Book a free class!
  • Solution

  • Transcript

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"

Set your child up for success with Lido, book a class today!

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 6

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.

  • Solution

  • Transcript

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"

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
Connect with us on social media!
2021 © Quality Tutorials Pvt Ltd All rights reserved
`