A rectangle prism has dimensions of 1/2, 2 and 7/2 inches. How many cubes with side edges of 1 inch will fit into the prism?

The volume of a rectangular prism is the product of its three dimensions.

We have then:

V = (1/2) * (2) * (7/2)

V = 3.5 in ^ 3

On the other hand the volume of a cube is:

V = L ^ 3

Where

L = length of its sides.

V = (1) ^ 3

V = 1 in ^ 3

The number of cubes inside the prism is:

N = (3.5) / (1)

N = 3.5

That is, only 3 cubes of volume 1 in ^ 3 fit inside the prism.

Answer:

3 cubes of volume 1 in ^ 3 inside the prism.