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There are four separate equal size boxes and inside each box there are two separate small boxes and inside each of the small boxes are three even smaller boxes. How many boxes are there all together?

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sam4040

Answer:

[tex]Total\ number\ of\ boxes=36[/tex]

Step-by-step explanation:

Number of boxes[tex]=4[/tex]

Small boxes:

Inside each box there are two separate box.

[tex]Total\ number\ of\ small\ boxes=Number\ of\ boxes\times small\ boxes\ in\ each\ box\\\\Total\ number\ of\ small\ boxes=4\times 2\\\\Total\ number\ of\ small\ boxes=8[/tex]

Smaller boxes:

[tex]Total\ number\ of\ smaller\ boxes=Number\ of\ small\ boxes\times smaller\ boxes\ in\ each\ small\ box\\\\Total\ number\ of\ smaller\ boxes=8\times 3\\\\Total\ number\ of\ small\ boxes=24[/tex]

[tex]Total\ number\ of\ boxes=Boxes+small\ boxes+smaller\ boxes\\\\Total\ number\ of\ boxes=4+8+24\\\\Total\ number\ of\ boxes=36[/tex]

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