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Mr Tladi wants to pave his verandah. He needs sand to do his paving. If the truck measures 3 m by 2 m by 1 m, how many m3 of sand can it hold? What is the volume of the fireplace in m3 if its dimensio

Mathematics

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Here are the solutions for the remaining problems:

7. Mr Tladi wants to pave his verandah.

  • b) Mr Tladi needs sand to do his paving. If the truck measures 3 m3 \text{ m} by 2 m2 \text{ m} by 1 m1 \text{ m}, how many m3\text{m}^3 of sand can it hold?
  1. Identify the formula for the volume of a rectangular prism.

    $$
    \text{Volume} = \text{length} \times \text{breadth} \times \text{height}
    $$
    
  2. Substitute the given dimensions of the truck.

    $$
    \text{Volume} = 3 \text{ m} \times 2 \text{ m} \times 1 \text{ m}
    $$
    
  3. Calculate the volume.

    $$
    \text{Volume} = 6 \text{ m}^3
    $$
    The truck can hold $\boxed{6 \text{ m}^3}$ of sand.
    

    8. The dimensions of a fireplace are 2 m×0.5 m×1 m2 \text{ m} \times 0.5 \text{ m} \times 1 \text{ m}. What is the volume of the fireplace in m3\text{m}^3?

  4. Identify the formula for the volume of a rectangular prism.

    Volume=length×breadth×height\text{Volume} = \text{length} \times \text{breadth} \times \text{height}
  5. Substitute the given dimensions of the fireplace.

    Volume=2 m×0.5 m×1 m\text{Volume} = 2 \text{ m} \times 0.5 \text{ m} \times 1 \text{ m}
  6. Calculate the volume.

    Volume=1 m3\text{Volume} = 1 \text{ m}^3

    The volume of the fireplace is 1 m3\boxed{1 \text{ m}^3}.

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