I have 40cm X 30cm wrapping paper. What is the largest cuboid box i can wrap by it?

Answer 1

Well, you can wrap a 13&1/3cm cube with 2 pieces if you cut the sheet lengthwise into two 40 x 13&1/3cm strips. I suspect that is the likely the largest without a fitting a lot of little pieces, but the area of a 40 x 30 sheet (1200cm²) could cover a 14.14cm cube
I'm having trouble visualizing how to utilize the diagonal measurement to wrap a 12.5cm cube without cutting, I'm not saying it can't be done, just that I can't visualize it.
Obviously a 10cm cube could be wrapped without cutting.

Answer 2

This is long so I will break it down for you. Another time a Son was away from home and his Father worried about him all the time as the son left angrily and the father had not seen him in years. The father was very ill and not expected to live a few years later and the son wanted to come home and ask for forgiveness of what he had done, and the father had given him a Bible years earlier for a present. the son called home when he got the news about his father, and his father told him he was welcomed back home but his time was short. The son asked the father for the money to get a bus ticket and the father told him that he had the means to buy one and always had. As time went on and the father passed away, the son arrived heart broken and was so sad and miserable that he was not there at his fathers passing and was grief stricken. The son remembered the Bible that his father had given him a few years earlier and opened it, and stuck between the pages was a Hundred Dollar bill with the words written on it, "I forgive you of everything because I love you and there is always a place for you here. The son broke down and cried as all he had to do was open the Bible and read it and the money would have fell out at his feet.

Answer 3

if we imagine the cube it will has 6 faces the tallest lenght to cover four sides should not be more than 40 CM and the other lenght to cover 3 faces should not be less than 30 CM but there is a face common between those two lenghts so the maximum box will have a 10 Cm lenght

Answer 4

The diagonal is 50 cm.
50/4=12.5 cm
6*12.5^2 = 937.5 cm^2
30*40 = 1200cm^2
Without cutting, 12.5 cm

edit, O.K., I concede that s = 12.5 would require cutting and pasting. That being the case, we may as well go for s = 141.4 mm and use the entire sheet. s = 10 uses only half the sheet, and, at best, leaves 2 pieces 10 cm by 30 cm.