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 Nik needs to estimate how many books will fit in a bin. Each book is 1’ tall, 0.5’ wide, and 0.1’ thick. The bin is 5’ wide, 2’ tall, and 3’ deep. Based on volume only, About how many books will fit in the bin?
Nik needs to estimate how many books will fit in a bin. Each book is 1’ tall, 0.5’ wide, and 0.1’ thick. The bin is 5’ wide, 2’ tall, and 3’ deep. Based on volume only, About how many books will fit in the bin?
Calculate the approximate number of books that can be stored in a bin by assessing their volume in relation to the bin's volume. Get insights into book storage capacity with volumebased estimations.
by Maivizhi A
Updated Feb 24, 2024
Nik needs to estimate how many books will fit in a bin. Each book is 1’ tall, 0.5’ wide, and 0.1’ thick. The bin is 5’ wide, 2’ tall, and 3’ deep. Based on volume only, About how many books will fit in the bin?
About 600 books will fit in the bin based on volume.
To estimate how many books will fit in the bin based on volume, we need to calculate the volume of each book and the volume of the bin.
Volume of each book:
Height = 1 foot
Width = 0.5 feet
Thickness = 0.1 feet
Volume of each book = Height * Width * Thickness = 1 * 0.5 * 0.1 = 0.05 cubic feet
Volume of the bin:
Width = 5 feet
Height = 2 feet
Depth = 3 feet
Volume of the bin = Width * Height * Depth = 5 * 2 * 3 = 30 cubic feet
Now, we can estimate the number of books that will fit in the bin by dividing the volume of the bin by the volume of each book:
Number of books = Volume of the bin / Volume of each book = 30 / 0.05 = 600
So, about 600 books will fit in the bin based on volume.
How to Calculate Volume?
Calculating volume depends on the shape of the object. Here are some common shapes and their corresponding volume formulas:

Cube: If you have a cube, you can calculate its volume by multiplying the length of one side by itself twice: Volume = Side length × Side length × Side length

Rectangular Prism: For a rectangular prism (a boxshaped object), multiply the length, width, and height together: Volume = Length × Width × Height

Cylinder: To find the volume of a cylinder, multiply the area of the base (usually a circle) by the height: Volume = π × Radius² × Height

Sphere: The volume of a sphere is calculated using the formula: Volume = (4/3) × π × Radius³

Cone: For a cone, the volume formula is: Volume = (1/3) × π × Radius² × Height

Pyramid: The formula for the volume of a pyramid is: Volume = (1/3) × Base Area × Height
Once you determine the appropriate formula for the shape you're dealing with, plug in the values for the dimensions (e.g., radius, height, side lengths) into the formula and perform the arithmetic operations to find the volume. Make sure all the dimensions are in the same units (e.g., meters, inches) before calculating.
Nik needs to estimate how many books will fit in a bin. Each book is 1’ tall, 0.5’ wide, and 0.1’ thick. The bin is 5’ wide, 2’ tall, and 3’ deep. Based on volume only, About how many books will fit in the bin  FAQs
1. How many books can fit in the bin?
About 600 books will fit based on volume.
2. What are the dimensions of each book?
Each book is 1’ tall, 0.5’ wide, and 0.1’ thick.
3. What are the dimensions of the bin?
The bin is 5’ wide, 2’ tall, and 3’ deep.
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