Answer: [tex]60\ cm^3[/tex]
Step-by-step explanation:
The complete exercise is attached.
You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
[tex]V=lwh[/tex]
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
[tex]l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm[/tex]
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
[tex]V=(4\ cm)(3\ cm)(5\ cm)[/tex]
Finally, evaluating, you get that the volume of the box is:
[tex]V=60\ cm^3[/tex]
