Answer:
C. 30.
Step-by-step explanation:
Each cube has a volume of 1 * 1* 1 = 1 cu cm.
The answer is 30 unit cubes because 30 *1 = 30.
The box is filled with 30 unit cubes.
For a cube with side length 'a' volume V is,
[tex]V=a^{3}[/tex] cubic units
In this question, a box has a volume of 30 cubic cm.
The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.
Let [tex]V_{s}[/tex] represents the volume of each unit cube and [tex]V[/tex] represent the volume of the box.
The length of each side of a unit cube is 1 cm.
So, [tex]V_{s}=(1)^{3}[/tex]
⇒ [tex]V_{s}=1[/tex] cubic cm
Let there are n unit cubes filled in the box.
⇒ [tex]V=n\times V_{s}[/tex]
⇒ [tex]30=n\times 1[/tex]
⇒[tex]n=30[/tex]
Therefore, 30 unit cubes are filled in the box.
Hence, option C. 30 is the correct answer.
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