A storage cabinet contains 8 packages of 175 postcards each. If these postcards are to be kept in boxes containing 200 postcards each, what is the smallest number of boxes needed:

First, calculate the total number of postcards:

\[
8 \text{ packages} \times 175 \text{ postcards per package} = 1400 \text{ postcards}.
\]

Next, divide the total number of postcards by the capacity of each box:

\[
\frac{1400 \text{ postcards}}{200 \text{ postcards per box}} = 7 \text{ boxes}.
\]

Thus, the smallest number of boxes needed is 7.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. If each box could hold 250 postcards instead, how many boxes would be needed?
2. How many additional postcards would be needed to fill the 7th box completely?
3. If 2 packages were removed, how many boxes would then be required?
4. How many postcards would remain if you used only 6 boxes?
5. If 3 postcards were damaged from each package, how many would still fit in 7 boxes?

**Tip:** Always round up when calculating how many containers are needed, even if the last container isn't full!

A storage cabinet contains 8 packages of 175 postcards each. If these postcards are to be kept in boxes containing 200 postcards each, what is the smallest number of boxes needed?

Determine how to calculate the smallest number of boxes required to store 1400 postcards, each box holding 200 postcards. This problem involves basic arithmetic operations, including multiplication and division, suitable for students in Grades 4-6.

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