Question

Carla packed this box with 1 centimeter cubes what is the volume of the box

Answer 1

Answer:
`60\ cm^3`

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:

`V=lwh`

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:

`l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm`

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

`V=(4\ cm)(3\ cm)(5\ cm)`

Finally, evaluating, you get that the volume of the box is:

`V=60\ cm^3`