MYTUTOR SUBJECT ANSWERS

333 views

What is the largest possible length of a pole you could fit in a room?

Lets say you are in a cubical grain silo, with a height of 12m, and a base with dimensions 3m by 4m. If you wanted to fit a pole in the silo, what is the largest possible length of the pole? 

The length we are trying to find is the diagonal from one corner on the base, to the opposite corner at the top of the silo.

This can be worked out using pythagoras (a2+b2=c2), as the height of the silo, the length we are trying to work out, and the diagonal between the opposite corners of the base form a right angled triangle.

This means the problem can be split up into to two steps.

Firstly the length of the diagonal on the base is the square root of (32+42) giving us 5m.

Then we can do the same method to find the length of the pole. The square root of (52+122) gives us 13m.

This means the largest possible pole you could fit in the silo is 13 meters.

Tom W. A Level Maths tutor, GCSE Maths tutor, GCSE Physics tutor

11 months ago

Answered by Tom, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

333 SUBJECT SPECIALISTS

£22 /hr

Nathan L.

Degree: Materials Science (Masters) - Oxford, St Edmund Hall University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“About Me: I'm a first year Materials science undergraduate at The University of Oxford. I loved learning about science and maths at school and hope my tutorials make you feel the same.  Structure: The key concept about tutorials i...”

£18 /hr

Abdullah D.

Degree: Mechanical Engineering (Bachelors) - Birmingham University

Subjects offered: Maths

Maths

“I am currently beginning my first year at the university of birmingham, studying mechanical engineering. I have two younger brothers aged 10 and 17 whom i tutor on a regular basis. i enjoy teaching them and see my self as a patient te...”

MyTutor guarantee

£18 /hr

James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“About MeI'm a second year student at Exeter University. I've been passionate about maths from a young age and have carried that love through my school and uni career. I hope that I can generate the same passion for my tutees as well....”

About the author

Tom W.

Currently unavailable: until 28/05/2016

Degree: General Engineering (Masters) - Durham University

Subjects offered: Maths, Physics

Maths
Physics

“Hi, I’m Tom, an Engineering student studying at Durham University.  I’ve always enjoyed the logical world of Maths and Physics and I hope I can teach you what I have learnt along the way, toboost your understanding and make complicate...”

MyTutor guarantee

You may also like...

Posts by Tom

How do you find the equation of a line at a given point that is tangent to a circle?

What is the largest possible length of a pole you could fit in a room?

Why does your hair stand on end when you touch a Van de Graaff generator?

Other GCSE Maths questions

Solve 4x + 6 = 3

How do I find the length of a side of a triangle using the cosine rule?

What is Pythagoras' theorem?

differentiate x^3(1+x)^5 with respect for x

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok