Answer :
Without sufficient information about the dimensions or volumes of the individual boxes, it's impossible to determine the correct expression representing the total volume. The problem is unsolvable with the given data.
### Explanation
1. Problem Analysis
We are given four possible expressions representing the total volume of two boxes and need to select the correct one. The expressions are:
1. $84 x^3-282 x^2-138 x-336$
2. $13 x^2+20 x-57$
3. $21 x^3-48 x^2-199 x$
4. $27 x^3+48 x^2-99 x$
Without any further information about the dimensions or volumes of the individual boxes, it is impossible to determine the correct expression. The problem is likely missing crucial information. We cannot proceed without knowing the individual volumes of the two boxes.
2. Unsolvable Problem
Since we lack the necessary information to determine the correct expression, we cannot definitively choose one. The problem is unsolvable with the given data.
3. Conclusion
Due to the missing information, we cannot select a correct answer from the given options. The problem requires additional details about the dimensions or volumes of the boxes.
### Examples
In real-world scenarios, calculating the total volume of multiple containers is essential in logistics and shipping. For instance, when loading boxes onto a truck, knowing the volume of each box allows for efficient space utilization and planning. This ensures that the truck is filled optimally, reducing transportation costs and maximizing the number of items that can be shipped in a single trip.
### Explanation
1. Problem Analysis
We are given four possible expressions representing the total volume of two boxes and need to select the correct one. The expressions are:
1. $84 x^3-282 x^2-138 x-336$
2. $13 x^2+20 x-57$
3. $21 x^3-48 x^2-199 x$
4. $27 x^3+48 x^2-99 x$
Without any further information about the dimensions or volumes of the individual boxes, it is impossible to determine the correct expression. The problem is likely missing crucial information. We cannot proceed without knowing the individual volumes of the two boxes.
2. Unsolvable Problem
Since we lack the necessary information to determine the correct expression, we cannot definitively choose one. The problem is unsolvable with the given data.
3. Conclusion
Due to the missing information, we cannot select a correct answer from the given options. The problem requires additional details about the dimensions or volumes of the boxes.
### Examples
In real-world scenarios, calculating the total volume of multiple containers is essential in logistics and shipping. For instance, when loading boxes onto a truck, knowing the volume of each box allows for efficient space utilization and planning. This ensures that the truck is filled optimally, reducing transportation costs and maximizing the number of items that can be shipped in a single trip.
