How many boxes will fit along the height of the shipping crate?
| | Storage Crate Size | Box Dimensions |
| :----- | :----------------- | :------------- |
| Width | 9 feet | 14 inches |
| Height | 12 feet | 7 inches |
| Length | 12 feet | 14 inches |
Answer (2)
Convert the height of the storage crate to inches: 12 feet = 144 inches .
Divide the storage crate height by the box height: 7 144 ≈ 20.57 .
Round down to the nearest whole number because you can't have a fraction of a box.
Conclude that 20 boxes fit along the height of the shipping crate: 20 .
Explanation
Unit Conversion Let's figure out how many boxes fit along the height of the shipping crate. First, we need to make sure our units are the same. The crate height is in feet, and the box height is in inches. So, let's convert the crate height to inches.
Calculate Crate Height in Inches Since there are 12 inches in a foot, we multiply the crate height (12 feet) by 12 to get the height in inches: 12 feet × 12 foot inches = 144 inches So, the shipping crate is 144 inches tall.
Divide Crate Height by Box Height Now that both measurements are in inches, we can divide the crate height by the box height to see how many boxes fit. The box height is 7 inches, so we divide 144 inches by 7 inches: 7 inches 144 inches ≈ 20.57 This means we can fit about 20.57 boxes along the height of the crate.
Round Down to the Nearest Whole Number Since we can't have a fraction of a box, we need to round down to the nearest whole number. We can only fit whole boxes into the crate. So, we round 20.57 down to 20.
Final Answer Therefore, 20 boxes will fit along the height of the shipping crate.
Examples
Understanding how to maximize space is crucial in logistics and storage. For example, when loading a truck with differently sized items, knowing how many of each item can fit helps optimize space and reduce shipping costs. This is also useful in organizing storage spaces at home or in warehouses, ensuring efficient use of available space.
20 boxes will fit along the height of the shipping crate when considering the height of the crate and the box dimensions. By converting the height of the crate to inches, we found that it is possible to fit 20 boxes after dividing and rounding down. Therefore, the answer is 20 .
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