Question

Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4 feet tall, and 4 feet deep. Based on volume only, about how many books will fit in the bin?

Answer 1

The volume of the bin is the amount of books it can contain.

455 books will fit in the bin

The dimension of the book is given as:

$\mathbf{Book = 0.75ft, 0.75ft, 0.25ft}$

The dimension of the bin is given as:

$\mathbf{Bin = 4ft, 4ft, 4ft}$

Start by calculating the volume of the book

$\mathbf{Book = 0.75ft \times 0.75ft\times 0.25ft}$

$\mathbf{Book = 0.140625ft^3}$

Next, calculate the volume of the bin

$\mathbf{Bin = 4ft \times 4ft \times 4ft}$

$\mathbf{Bin = 64ft^3}$

So, the number of books (n) is:

$\mathbf{n = \frac{Bin}{Book}}$

This gives

$\mathbf{n = \frac{64ft^3}{0.140625ft^3}}$

Cancel out the units

$\mathbf{n = \frac{64}{0.140625}}$

$\mathbf{n = 455.11}$

Remove the decimals

$\mathbf{n = 455}$

Hence, 455 books will fit in the bin

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