If one face of a cube has an area of 16 m2, then what is the volume of the cube?


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Answer:

64 m3

Step by Step Explanation:
  1. Let us assume that the length of a side of the cube is a.
  2. The area of one face of the cube is 16 m2.
    As the face of a cube is a square, its area = a2, where a is the side of the square(cube).
    ⇒ 16 = a2
    ⇒ 42 = a2
    ⇒ a = 4 m
  3. Volume of the cube (V) = a3, where a is the side of the cube.
    ⇒ Volume of the cube = (4)3 = 4 × 4 × 4 = 64 m3
  4. Therefore, the volume of the cube is 64 m3.

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