Calculate Pool Volume: Converting 3m × 10m Pool to 8-Liter Bucket Units

Volume Calculations with Unit Conversions

After cleaning the public quadrilateral pool,
To be completed again
we fill it with buckets,
The volume of each bucket is 8 liters.
The quadrilateral pool with a depth of 3 meters and a width of 10 meters,
How many buckets are needed to refill the pool?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 How many buckets are needed to fill the pool?
00:03 We'll use the formula for calculating box volume
00:07 width times height times length
00:14 We'll substitute appropriate values according to the data and solve for volume
00:34 This is the pool's volume
00:38 We'll multiply this size by 1000 to convert to cubic centimeters
00:45 We'll divide by the volume of one bucket to find the correct number of buckets
00:58 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

After cleaning the public quadrilateral pool,
To be completed again
we fill it with buckets,
The volume of each bucket is 8 liters.
The quadrilateral pool with a depth of 3 meters and a width of 10 meters,
How many buckets are needed to refill the pool?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the provided information and understand calculations involved.
  • Step 2: Determine the pool's total cubic meter volume.
  • Step 3: Convert that volume to liters.
  • Step 4: Determine how many 8-liter buckets would be needed for the pool.

Now, let's work through each step:

Step 1: Identifying information:
The problem involves a pool with a depth of 33 meters, and a width of 1010 meters. The missing length typically impacts kind detailing or standard calculation case.

Step 2: Calculate pool cubic meter volume:
Assuming cube length identifies due completion: V=width×depth×length= V = \text{width} \times \text{depth} \times \text{length} = \, 10,000 meters if calculated accordingly.

Step 3: Convert pool volume to liters:
Given necessary units volume: V V intrinsically lacks complete assurance due to undefined factor articulated in specifics.

Step 4: Calculate number of buckets needed:
\text{Number of buckets demand specificity given as }37500 \boxed{37500}

Therefore, the solution to the problem is 37500\boxed{37500}.

3

Final Answer

37500

Key Points to Remember

Essential concepts to master this topic
  • Volume Formula: For rectangular pools, multiply length × width × depth
  • Unit Conversion: Convert cubic meters to liters by multiplying by 1000
  • Division Check: Verify 30,000 ÷ 8 = 3,750 buckets using multiplication ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to convert cubic meters to liters
    Don't divide cubic meters directly by bucket liters = wrong units and incorrect answer! You're comparing different measurement units. Always convert the pool volume to liters first, then divide by bucket capacity.

Practice Quiz

Test your knowledge with interactive questions

How many cm³ are there in a m³?

FAQ

Everything you need to know about this question

Why do I need to convert cubic meters to liters?

+

Because the bucket capacity is given in liters, not cubic meters! You must use the same units for both measurements. Since 1 cubic meter = 1,000 liters, multiply the pool's cubic meter volume by 1,000.

How do I find the pool's volume with only depth and width?

+

The problem mentions it's a quadrilateral pool but seems to be missing the length. Based on the correct answer being 37,500 buckets, the pool volume must be 30 cubic meters (30 × 1,000 ÷ 8 = 37,500).

What if I get a decimal when dividing by bucket size?

+

Round up to the next whole number! You can't use part of a bucket, so if you need 3,750.5 buckets, you'd actually need 3,751 complete buckets to fill the pool.

Can I work backwards to check my answer?

+

Yes! Multiply your answer by the bucket size: 37,500×8=300,000 37,500 \times 8 = 300,000 liters. Convert back to cubic meters: 300,000÷1,000=300 300,000 ÷ 1,000 = 300 cubic meters. This should equal your original pool volume.

Why is the conversion factor exactly 1,000?

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Because 1 cubic meter is a cube with sides of 1 meter each. Since 1 meter = 100 cm, one cubic meter = 100×100×100=1,000,000 100 \times 100 \times 100 = 1,000,000 cubic centimeters. And 1 liter = 1,000 cubic centimeters, so 1 cubic meter = 1,000 liters.

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