Answer to Question #244356 in Physics for Tin

Question

a box measure 3.0ft×2.0ft×1.50ft. each book measures 25.0cm × 10.0 cm × 5.0cm . what is the maximum number of this books that this box can contain

Answer 1

Convert ft to cm:

3 ft is 91.44 cm,

2 ft is 60.96 cm,

1.5 ft is 45.72 cm.

How many books will cover the bottom of the box flat horizontally long side of book (25 cm) parallel to long side of box (91 cm)?

91.44 cm fit 3 books so 16.44 cm left free

60.96 cm fit 6 books so 0.96 cm left

45.72 cm (height) fit 9 books 5 cm each so 0.72 cm left.

The number of books here is 3x6x9=162 books.

So, the free space left for books to fit vertically is

16.44 cm x 60.96 cm x 45.72 cm, which fit 9 books vertically 10 cm side along the 60.96 cm:

16.44 cm fit 3 books vertically (3x5 cm)

60.96 fit fit 3 books upright (3x10 cm)

45 cm fit 1 book vertically.

The number of books here is 3x3x1=9 books.

The maximum number of books is 9+162=171.