Volume is a three-dimensional scalar quantity. The number of cubes with a side length of 0.25 units that can fit in a rectangular prism of volume 3 cubic units is 192.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the volume of the rectangular prism is 3 units³. Also, the length of the side of the cube is (1/4) unit. Therefore, the volume of the cube can be written as,
[tex]\rm \text{Volume of the Cube} = a^3 = (\dfrac{1}{4})^3 = \dfrac{1}{64} = 0.015625\ unit^3[/tex]
Now, the number of cubes that can be fitted into the rectangular prism is,
[tex]\text{Number of cubes}=\dfrac{\text{Volume of Rectangular prism}}{\text{Volume of cube}}\\\\\text{Number of cubes}=\dfrac{3}{0.015625} = 192[/tex]
Hence, the number of cubes with a side length of 0.25 units that can fit in a rectangular prism of volume 3 cubic units is 192.
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