If determining the volume of a rectangular box, five cubes were found to fit exactly along one edge, and four cubes were found to fit exactly along another edge. However, after six horizontal layers had been stacked in the box, a space at the top was left unfilled.
a. If the height of the space was half the length of an edge of a cube, what was the volume of the box?
b. If the height of the space was 0.23 of the length of an edge of a cube, what was the volume of the box?

Question

If determining the volume of a rectangular box, five cubes were found to fit exactly along one edge, and four cubes were found to fit exactly along another edge. However, after six horizontal layers had been stacked in the box, a space at the top was left unfilled.
a. If the height of the space was half the length of an edge of a cube, what was the volume of the box?
b. If the height of the space was 0.23 of the length of an edge of a cube, what was the volume of the box?

mathmate · Answer

The volume is length * width * height
In your problem, 
length is 5 cube-lengths, 
width is 4 cube-lengths,
and 
height is 6.5 cube-lengths.
The unit for the volume is "cubes".
Question 2 left for you as an exercise.

By the way, this is a math question.  You will have more success (and according to OS rules) posting it in the Math section.