If 64 mL water is occupied in a cube, the side length of the cube will be _____.

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  1. 8 m
  2. 4 m
  3. 4 mL
  4. 4 cm

Answer (Detailed Solution Below)

Option 4 : 4 cm
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Detailed Solution

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The correct answer is 4 cm.

Key Points

  • To find the side length of the cube, we need to use the formula for the volume of a cube, which is V = a³, where "a" is the side length.
  • Given that the volume of the cube is 64 mL, we set up the equation: a³ = 64.
  • Taking the cube root of both sides, we find that a = 4 cm. This is because (4 cm)³ = 64 cm³.
  • Since 1 mL of water is equal to 1 cm³ in volume, the units are consistent, and the side length is correctly calculated in centimeters (cm).
  • A cube with side length 4 cm has a volume of exactly 64 cm³, which matches the given volume of water.
  • Thus, the correct answer is 4 cm.
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