Respuesta :
The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground
The number of bookshelves that fit into alcove, is 8 bookshelves
Reason:
Height of the alcove = 2.5 m
Height of the books = 210 mm = 0.21 m
The gap above each book = 30 mm = 0.03 m
The thickness of the shelves = 20 mm = 0.02 m
Width of the alcove = 1.2 m
Height of the bottom shelf above the ground = 300 mm = 0.3 m
Required:
The number of shelves that can be fitted into the alcove
Solution;
Let x, represent the number of shelves that can be fitted into the alcove
We have;
An initial height of the bookshelves above the ground = 0.3 m
Height of a shelve, H = Height of books + Gap above books + Thickness of shelves
Height above ground, including the bottom shelve = 0.3 m
- [tex]x = \dfrac{2.5 - (0.3)}{0.02 + 0.03 } = 8\frac{6}{13}\approx 8.46[/tex]
Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves
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