Question
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4. A warehouse has 3 shelves long enough to hold 8 boxes and high enough to hold 4 boxes. All the shelves are full. How many boxes are on the shelves all together?

Ask by Chen Patel. in the United States
Mar 20,2025

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Tutor-Verified Answer

Answer

There are 24 boxes on the shelves altogether.

Solution

To find the total number of boxes on the shelves, we can follow these steps: 1. **Identify the number of shelves**: The problem states that there are 3 shelves. 2. **Identify the capacity of each shelf**: Each shelf can hold 8 boxes. 3. **Calculate the total number of boxes**: Since all shelves are full, we can multiply the number of shelves by the capacity of each shelf. The formula to calculate the total number of boxes \( T \) is: \[ T = \text{number of shelves} \times \text{capacity of each shelf} \] Substituting the known values: \[ T = 3 \times 8 \] Now, let's perform the calculation: \[ T = 24 \] Thus, the total number of boxes on the shelves all together is \( 24 \).

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Bonus Knowledge

A warehouse with 3 shelves that can hold 8 boxes each means you have a total of 3 multiplied by 8. That gives you 24 boxes on the shelves wide. Now, considering the height, if each shelf can hold 4 boxes high, you can multiply that by the number of shelves too. So, 3 shelves times 4 high gives you a whopping 12 boxes vertically on each shelf! But remember, it's already established that all shelves are full, so it's just 24 boxes. While you might not need advanced math to figure this out, visualizing it can make it even more accessible! Picture stacking those boxes like building blocks. Each layer has 8 boxes on it, making for a colorful and neat arrangement—perfect for a warehouse!

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