How many cubes of side length 3 units can be fit inside the given rectangular prism?
A
2
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B
3
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C
1
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D
4
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Solution
The correct option is D4 Side length of each cube =3 units
Volume of each cube =3×3×3=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 × Width × Height =6×6×3=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.