Question

How many cubes of side length $3$ units can be fit inside the given rectangular prism?

• A. $2$
• B. $3$
• C. $1$
• D. $4$

Answer 1

The correct option is D $4$

Side length of each cube $=3$ units
Volume of each cube $=3\times 3\times 3=27$ cu units
Length of rectangular prism $=6$ units
Width of rectangular prism $=6$ units
Height of rectangular prism $=3$ units
Volume of the given rectangular prism $=$ Length $\times$ Width $\times$ Height $=6\times 6\times 3=108$ cu units
Maximum number of cubes that can fit inside the rectangular prism $=$ Volume of the rectangular prism $÷$ Volume of the cube $=108÷27=4$


So, $4$ cubes of side length $3$ units can be fit inside the given rectangular prism.