Convert the height of the storage crate to inches: 10 feet = 120 inches .
Divide the crate's height in inches by the box's height in inches: 8 120 .
Calculate the number of boxes that fit: 15 .
Conclude that 15 boxes fit along the height of the shipping crate.
Explanation
Problem Analysis We need to determine how many boxes will fit along the height of the shipping crate. The crate's height is given in feet, while the box's height is given in inches. To solve this, we need to convert the crate's height to inches and then divide by the box's height.
Convert Units First, convert the height of the storage crate from feet to inches. Since 1 foot equals 12 inches, we multiply the height of the crate in feet by 12 to get the height in inches:
10 feet × 12 foot inches = 120 inches
Calculate Number of Boxes Next, divide the height of the storage crate in inches by the height of the box in inches to find the number of boxes that fit along the height:
8 inches/box 120 inches = 15 boxes
Final Answer Therefore, 15 boxes will fit along the height of the shipping crate.
Examples
Understanding how to calculate the number of items that fit into a space is crucial in logistics and storage. For instance, if you're packing a moving truck, you need to know how many boxes of a certain size will fit into the truck's cargo area. This calculation helps optimize space usage, prevents damage from shifting items, and ensures efficient packing. Knowing these calculations can save time and resources in various real-world scenarios, from personal moves to large-scale shipping operations.
A total of 15 boxes will fit along the height of the shipping crate after converting the height from feet to inches and dividing by the height of each box. The calculation confirms that fitting is possible based on the given dimensions.
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