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Answer :

ANSWER:

72 box with 1-centimeter cubes

STEP-BY-STEP EXPLANATION:

To know how many box with 1-centimeter cubes the figure will fit, you must calculate the total volume of the figure in square centimeters.

The volume of salcula by means of the following formula:

[tex]V=l\cdot w\cdot h[/tex]

Where l is length, w is width, and h is height

l = 6

w = 3

h = 4

Replacing:

[tex]\begin{gathered} V=6\cdot3\cdot4 \\ V=72\operatorname{cm}^3 \end{gathered}[/tex]

Now we calculate the number of boxes, it would be:

[tex]n=\frac{72\operatorname{cm}^3}{1\operatorname{cm}^3}=72[/tex]