Answer:
108 cubes
Explanation:
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?
Step 1
We find the volume of the cubes
Side length = 1/3 units
Volume of a cube = Side length ³
Hence,
(1/3 units)³ = 1/27 cubic units
Step 2
A rectangular prism with a volume of 4 cubic units.
The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:
4 cubic units ÷ 1/27 cubic units
= 4 ÷ 1/27
= 4 × 27/1
= 108 cubes