In this interactive, you are given the dimensions of a rectangular prism and the smaller cubes being used to fill the prism. Fill in the blanks by determining the number of cubes, smaller cubes, and volume of the cubes and prism. Only input numbers, and use “/” for a fraction, such as 1/5.

A right rectangular prism has the dimensions 3
1
4
units, 2 units, and 4
1
2
units. It is going to be packed with cubes with dimensions of
1
4
units on all sides.

The number of cubes required to fill the prism is

The volume of the prism is

unit cubes plus

smaller cubes with a volume of

cubic units.

Using the volume formula, the volume of the prism is

unit cubes and

of a unit