Question

The AMT’s distribution warehouse has run out of many of their most popular types of packaging. 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. 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 next millimetre.

b) Romel notices that a flat rectangular booklet of width 120mm fits snugly into a particular square envelope in two different ways: with its sides parallel to the edges of the envelope, or with its sides at 45◦ 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 20mm thick. When tilted, they fit snugly inside a cubic box with a gap of 16mm at the bottom left, as shown. Find the dimensions of the book.

Answer 1

Given :    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

To find :  Side of Square envelope and cubic box

Solution:

length 500 mm

in a square envelope

=> √2 Side  > 500

=>  Side  >  353.5

=> Side = 354 mm

in a Cubic box

√3 Side  > 500

=> Side  >  288.7

=> Side = 289 mm

Learn More:

The dimension of the James guest room is 14 m × 12 metre × 10 ...

https://brainly.in/question/13392896

10m×10m×5m wimao wale ek kamre me rakhe ja sakne wale sabse ...

https://brainly.in/question/8031664