Complete Question
A rectangular prism with length, height, and width of 3. Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely?
Answer:
(C)19
Step-by-step explanation:
The Volume of the Prism = Length X Height X Width
=3 X 3 X 3
=[tex]27 \:cubic\:units[/tex]
Volume of the Unit Cube =[tex]s^3=1^3=1 \:cubic \: units[/tex]
Number of cubes that will fit into the prism= Volume of Prism ÷ Volume of the Cube
=27 ÷ 1=27 cubes
Since Ethan has partially filled the prism with 8 unit cubes.
Number of Cubes required to fill the prism = 27-8
=19 Cubes
