Romel notices that a flat rectangular booklet of width 120mm fits snugly into a particular square envelope in two different ways: with its sides parralell to the edges of the envelope, or with its sides at a 45 degree angle to the edges. Ignoring the thickness of the booklet, find its height to the nearest mm. Step by step explanation would be appreciated.
Answers
Answer:
a) Romel needs to post a thin rod of length 500 mm to a maths teacher who wants to use it as a pointer. He could send it diagonally in a square envelope or cubic box. Ignoring the width of the rod, find the side lengths of the smallest square envelope and the smallest cubic box which could be used, rounded up to the nearest millimetre.
b) Romel notices that a flat rectangular booklet of width 120 mm fits snugly into a particular square envelope in two different ways: with its sides parallel to the edges of the envelope, or with the sides at 45º to the edges. Ignoring the thickness of the booklet, find its height to the nearest millimetre.
c) Romel has five copies of a large book. Each book is 20 mm thick. When tilted, they fit snugly inside a cubic box with gap of 16 mm at the bottom left, as shown. Find the dimensions of the book.
Answer:
All that is left is a range of square envelopes and cubic boxes (and lots of environmentally friendly packaging filler). a) Romel needs to post a thin rod of length 500 mm to a maths teacher who wants to use it as a pointer. He could send it diagonally in a square envelope or cubic box.
Explanation:
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