How many boxes will fit along the height of the shipping crate?
| | Storage Crate Size | Box Dimensions |
| :----- | :----------------- | :------------- |
| Width | 8 feet | 10 inches |
| Height | 8 feet | 4 inches |
| Length | 20 feet | 10 inches |
Answer (2)
Convert the height of the storage crate to inches: 8 feet = 96 inches .
Divide the storage crate height by the box height: 4 inches 96 inches = 24 .
Round down to the nearest whole number (no rounding needed in this case).
Conclude that 24 boxes fit along the height of the shipping crate.
Explanation
Problem Analysis We are given the height of a storage crate as 8 feet and the height of a box as 4 inches. We need to determine how many boxes can fit along the height of the storage crate.
Convert feet to inches First, we need to convert the height of the storage crate from feet to inches. Since there are 12 inches in a foot, we multiply the height of the crate in feet by 12 to get the height in inches: 8 feet × 12 foot inches = 96 inches So, the height of the storage crate is 96 inches.
Calculate the number of boxes Next, we divide the height of the storage crate (in inches) by the height of a box (in inches) to find the number of boxes that fit along the height: 4 inches/box 96 inches = 24 boxes Therefore, 24 boxes can fit along the height of the shipping crate.
Round down to the nearest whole number Since we can only fit whole boxes, we round down to the nearest whole number. In this case, 24 is already a whole number, so we don't need to round.
Final Answer Therefore, 24 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 useful in many real-world scenarios. For example, when packing a moving truck, you need to determine how many boxes of different sizes will fit into the truck's cargo area. This involves converting units (like feet to inches), calculating volumes, and optimizing space usage to ensure everything fits efficiently and safely. Similarly, in retail, store managers calculate how many products can be displayed on shelves to maximize sales per square foot. These calculations help in logistics, storage, and space management.
To find how many boxes fit along the height of the shipping crate, we convert the height from feet to inches (96 inches) and divide by the box height (4 inches), resulting in 24 boxes. Thus, 24 boxes fit along the height of the shipping crate. Since no rounding is necessary, the answer remains 24.
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