s volume calculations of the bento…

Mathematics Questions

How does the manager’s and employee’s volume calculations of the bento box container compare?

Short Answer

The manager calculates the container’s volume using the formula lwh, then determines the total volume of 63 bento boxes (3 layers of 21) to ensure they fit. Finally, the employee confirms that both volume calculations match, verifying the efficiency of the container’s dimensions for storage.

Step-by-Step Solution

Step 1: Calculate the Container’s Volume

The manager can determine the volume of the container by applying the formula lwh, where l represents the length, w is the width, and h is the height. By inserting the corresponding dimensions into this formula, the manager will receive the total cubic measurement that the container can hold.

Step 2: Determine Bento Box Volume

Next, the employee establishes that the container can be filled with 3 layers of 21 bento boxes each. To find the total volume of bento boxes within the container, multiply the number of bento boxes by the volume of a single bento box. This gives an accurate representation of the total box capacity based on the established layers.

Step 3: Compare and Confirm Volumes

Finally, the employee checks that the volume calculated using the lwh formula matches the total volume derived from the bento box calculation. If both volumes are equal, it confirms that the container’s dimensions adequately support the storage of the bento boxes, ensuring efficient use of space.

Related Concepts

Volume of the container

The total cubic measurement that a container can hold, calculated using the formula lwh (length √ó width √ó height)

Bento box volume

The space occupied by a single bento box, which is determined by multiplying the number of boxes by the volume of one box to ascertain total capacity

Comparison of volumes

The process of checking if the calculated volume of the container and the total volume of the bento boxes are equal to confirm adequate capacity and efficient use of space.

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