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A storage unit is in the shape of a cube with a side length of 2 m. What is its volume? Also, verify if the provided answer of 12 m3 is correct.

Mathematics

ScanSolve AI Answer

Answer

V=8 m3V = 8 \text{ m}^3

Step-by-step solution

3 steps
  1. Identify the side length of the cube.

    The diagram shows a storage unit in the shape of a cube. One side length is given as 2 m2 \text{ m}.
    For a cube, all side lengths are equal. So, the side length s=2 ms = 2 \text{ m}.

  2. Recall the formula for the volume of a cube.

    The volume VV of a cube is given by the formula:

    V=s3V = s^3
  3. Substitute the side length into the formula and calculate the volume.

    V=(2 m)3V = (2 \text{ m})^3 V=2 m×2 m×2 mV = 2 \text{ m} \times 2 \text{ m} \times 2 \text{ m} V=8 m3V = 8 \text{ m}^3

    The calculated volume is 8 m38 \text{ m}^3. The provided answer in the image is 12 m312 \text{ m}^3. Therefore, the provided answer is incorrect.

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