I have 40cm X 30cm wrapping paper. What is the largest cuboid box i can wrap by it?
Answer:
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.
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
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.
The answers post by the user, for information only, FunQA.com does not guarantee the right.
More Questions and Answers: