Can someone please check my maths? 😳

[HeyNannyNanny]

I have no excuse, my brain is just fried....

So....

HeyNannyNanny has bought a roll of patterned paper to cover her notebooks.

The covers that need covering are A4 (so 297mm x 210mm).

The roll of patterned paper is 760mm x 50m.

How many notebooks can HeyNannyNanny cover with one roll of paper?

I get 609. But I just put my shampoo in the fridge and tomato sauce in the shower so I'm a twat.

Help!

46 off the top of my head.

Is the roll of paper 50 metres or 50 millimetres? the answer would be vastly different depending on which!

I assumed 50m. Is it wallpaper?

Oh hang on - how much of an overlap for you need to cover the spines?

40 with room for overlap on each one.

Do you have to cover the front and back of each one? In which case you have to assume the width of each is double.

🤦🏼‍♀️ 22 then

Yeah I’m only getting about 238.
Assuming the paper has the cover the notebook then the area is at least 297mm by 420mm.
If your paper is 760mm by 50000mm then you can only cover 2x297mm height and then the 420 is length ways, so it’s 50000/420 times 2 and the remaining paper is waste. Unless you are just sticking bits on with glue and don’t need to use intact cover each time.

You’ve got too many zeros there! 50m = 5000mm innit?

You can fit two A4 books with the height of the books along the width of the roll, one above the other with just enough spare to overlap on the inside cover. Opened up, the book would have a width of 420mm (assuming just a stapled spine, not a thick one). I'd then allow 40mm on each end to overlap on the inside, so 500mm. So, the roll would be 100 opened books long, so would cover 200 books.

Are the notebooks hinged down the long edge??
And you need to cover front and back?
And have some overlap to stick inside the covers to make neat edges??
If so, assume a 4cm overlap on each edge.

I think you are best opening each book to make a 420x297 plus spine plus overlap size of approx 340x450mm. The shorter of these edges (long edge of each cover) will fit 2 across the roll. And 107 down the roll.
So, 215 books per roll.

But that is so different yo your answer I wonder what I've forgotten!!
I also changed my mind half way through, so started typing before anyone else has posted. Maybe someone else has answered by now!

My calculations leaves no room for folding over. If you assume 10mm for that each side then it becomes 50000/440 which is less again....

Look do I need to get out my graph paper? Because I will, and start drawing it all out (like I did in IKEA before I got dragged out)

50 metres is 50 x100(cm) x 10(mm)

Sorry, its 50 metres.

And it needs to cover an A4 sheet only, no overlap or give needed (as the A4 itself it's actually cut down.

So how many 297x210mm rectangles fit on a 760mmx50m rectangle?

46 my head hurts

Just over 500 then.

3 sets of 210mm across the roll. Then 50/0.297 down the roll gives 168.
168x3 is 504.

In that case you are best fitting three sheets widthwise across the width of the roll. So 50m divided by 297mm is 168, then multiplied by 3 is 504.

I get 504. You can get more on if you put three sheets of paper landscape down the short edge (760 mm). That leaves 50,000/297 = 168 next to each other down the roll. 168 * 3 = 504

3 times 50000/297 with a length of 50000x130 left over.....

Cross post with WinterHeatWave - you posted as I was typing!

Oh ffs I got o my cm and mm confused! It’s 505.

I worked out the roll is 38msquared and the notebook is 0.06237msquared so 38/0.06237 is 609

But as PP mentioned that wouldn't work as you wouldn't fit notebooks on it whole 609 times

I'm not loving how everyone has a different answer I think I need a long hot shower with my ketchup

Why do you want to recover 504 note books?
I am intrigued.