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Given that 1 m3 = 1000 litres, we convert the volume of water:

Mathematics

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Answer

6 m\text{6 m}

Step-by-step solution

4 steps
  1. Convert the total volume of water from litres to cubic meters.

    Given that 1 m3=1000 litres1 \text{ m}^3 = 1000 \text{ litres}, we convert the volume of water:

    V=600000 litres×1 m31000 litresV = 600000 \text{ litres} \times \frac{1 \text{ m}^3}{1000 \text{ litres}} V=600 m3V = 600 \text{ m}^3
  2. Identify the given dimensions of the diving pool.

    The diving pool is cuboid in shape with a length of 12.5 m12.5 \text{ m} and a width of 8.0 m8.0 \text{ m}. Let the depth be dd.

  3. Apply the formula for the volume of a cuboid.

    The volume VV of a cuboid is given by:

    V=length×width×depthV = \text{length} \times \text{width} \times \text{depth}
  4. Substitute the known values into the formula and solve for the depth.

    600 m3=12.5 m×8.0 m×d600 \text{ m}^3 = 12.5 \text{ m} \times 8.0 \text{ m} \times d

    First, calculate the product of length and width:

    12.5 m×8.0 m=100 m212.5 \text{ m} \times 8.0 \text{ m} = 100 \text{ m}^2

    Now, substitute this back into the equation:

    600 m3=100 m2×d600 \text{ m}^3 = 100 \text{ m}^2 \times d

    To find dd, divide the volume by the area:

    d=600 m3100 m2d = \frac{600 \text{ m}^3}{100 \text{ m}^2} d=6 md = 6 \text{ m}

    The depth of water in the diving pool is 6 m\text{6 m}.

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