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2 parts
3

9 buckets\text{9 buckets}

36 buckets\text{36 buckets}

4

2.7 m3\text{2.7 m}^3

Step-by-step solution

6 steps

Here are the solutions to the remaining questions from the first image:

Part 3· 3 steps

A concrete mix is given as 1:2:4. If 18 buckets of sand are used, calculate the quantity of cement and aggregate needed.

  1. Determine the value of one part in the ratio.

    The ratio 1:2:4 means 1 part cement, 2 parts sand, and 4 parts aggregate.
    Given that 2 parts of sand correspond to 18 buckets:

    2 parts of sand=18 buckets2 \text{ parts of sand} = 18 \text{ buckets} 1 part=18 buckets2=9 buckets1 \text{ part} = \frac{18 \text{ buckets}}{2} = 9 \text{ buckets}
  2. Calculate the quantity of cement.

    Cement is 1 part:

    Cement=1×9 buckets=9 buckets\text{Cement} = 1 \times 9 \text{ buckets} = 9 \text{ buckets}
  3. Calculate the quantity of aggregate.

    Aggregate is 4 parts:

    Aggregate=4×9 buckets=36 buckets\text{Aggregate} = 4 \times 9 \text{ buckets} = 36 \text{ buckets}

    The quantity of cement needed is 9 buckets\boxed{\text{9 buckets}} and the quantity of aggregate needed is 36 buckets\boxed{\text{36 buckets}}.

Part 4

2.7 m3\text{2.7 m}^3

Calculate the volume of concrete needed to construct a slab 6m long, 3m wide, and 150mm thick.

  1. Convert all dimensions to the same unit (meters).

    Given:
    Length (LL) = 6 m6 \text{ m}
    Width (WW) = 3 m3 \text{ m}
    Thickness (TT) = 150 mm150 \text{ mm}
    To convert millimeters to meters, divide by 1000:

    T=150 mm1000 mm/m=0.15 mT = \frac{150 \text{ mm}}{1000 \text{ mm/m}} = 0.15 \text{ m}
  2. Use the formula for the volume of a rectangular prism.

    The volume (VV) of a slab is calculated as:

    V=L×W×TV = L \times W \times T
  3. Substitute the values and calculate the volume.

    V=6 m×3 m×0.15 mV = 6 \text{ m} \times 3 \text{ m} \times 0.15 \text{ m} V=18 m2×0.15 mV = 18 \text{ m}^2 \times 0.15 \text{ m} V=2.7 m3V = 2.7 \text{ m}^3

    The volume of concrete needed is 2.7 m3\boxed{\text{2.7 m}^3}.

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