Pregunta
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Complete the following question:
The concrete path is poured at a depth of 10 cm . Using the area calculation above calculate
the volume of the concrete path.
A bag of concrete mix is 20 L of concrete, how many bags of concrete mix does Pete need to
order?

Ask by Huang Reyes. in Australia
Mar 30,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Pete needs to order 5 times the area of the concrete path in square meters.

Solución

  1. Convert the depth from centimeters to meters. Since
    the depth of the concrete is .
  2. Let the area of the concrete path (calculated in the previous part) be
  3. The volume of the concrete path is given by multiplying the area by the depth:
    Thus, the volume is
  4. Each bag of concrete mix contains . To work in consistent units, note that
    so every 20‐L bag contains
  5. The number of bags required is the total volume divided by the volume per bag:
  6. Therefore, Pete needs to order
    where is the area (in ) of the concrete path calculated earlier. Since bags can only be ordered in whole numbers, the final result should be rounded up if necessary.

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Mind Expander

To calculate the volume of the concrete path, you first need to determine the area of the path in square meters (m²) and then multiply it by the depth (in meters). For a depth of 10 cm, that converts to 0.1 m. So, Volume = Area × Depth. Convert the volume to liters (1 m³ = 1000 L) to find out how many bags of concrete mix are needed. If the calculated volume is V liters, you would divide V by 20 to get the number of bags required. Don’t forget to round up to ensure Pete has enough concrete!
Now, if Pete’s path is 10 m long and 2 m wide, the area would be 20 m². Therefore, the volume of concrete needed would be 20 m² × 0.1 m = 2 m³, converting that to liters gives 2 m³ × 1000 L/m³ = 2000 L. Dividing 2000 L by 20 L/bag means he needs to order 100 bags of concrete mix. Happy pouring, Pete!

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