Calculate Volume: 30m × 15m × 5m Swimming Pool Dimensions

Volume Calculation with Rectangular Pool Dimensions

Gus builds a swimming pool 30 m long, 5 m deep, and 15 m wide. What is its volume?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Gus builds a swimming pool 30 m long, 5 m deep, and 15 m wide. What is its volume?

2

Step-by-step solution

To solve this problem, we'll calculate the volume of the swimming pool using the formula for the volume of a rectangular prism.

  • Step 1: Identify the given dimensions of the swimming pool:
    • Length (L L ) = 30 m
    • Width (W W ) = 15 m
    • Height (H H ) = 5 m
  • Step 2: Use the formula for the volume of a rectangular prism:
    • V=L×W×H V = L \times W \times H
  • Step 3: Substitute the given values into the formula:
    • V=30×15×5 V = 30 \times 15 \times 5
  • Step 4: Perform the calculations:
    • First, calculate 30×15=450 30 \times 15 = 450
    • Then, multiply the intermediate result by the height: 450×5=2250 450 \times 5 = 2250

Therefore, the volume of Gus's swimming pool is 2250 m3 2250~m^3 .

3

Final Answer

2250 m3 2250~m^3

Key Points to Remember

Essential concepts to master this topic
  • Formula: Volume of rectangular prism equals length times width times height
  • Technique: Multiply step by step: 30 × 15 = 450, then 450 × 5 = 2250
  • Check: Units should be cubic meters (m³) and answer makes sense for pool size ✓

Common Mistakes

Avoid these frequent errors
  • Adding dimensions instead of multiplying
    Don't add 30 + 15 + 5 = 50 m³! This gives the perimeter concept, not volume. Volume requires space in three dimensions. Always multiply all three dimensions: length × width × height.

Practice Quiz

Test your knowledge with interactive questions

Calculate the volume of the rectangular prism below using the data provided.

888333222

FAQ

Everything you need to know about this question

Why do we multiply the dimensions instead of adding them?

+

Volume measures space inside a 3D object. Adding gives you a perimeter (around the edges), but multiplying length × width × height gives you the cubic space that can hold water.

What does m³ mean and why is it important?

+

m³ means cubic meters - it shows we're measuring volume (3D space). Always include cubic units for volume problems. If you forget the ³, your answer looks like area instead of volume!

Can I multiply the dimensions in any order?

+

Yes! Multiplication is commutative, so 30 × 15 × 5 = 15 × 5 × 30 = 5 × 30 × 15. All give the same answer: 2250 m³.

How do I know if 2250 m³ is reasonable for a swimming pool?

+

Think about it: this pool is 30m long (about 3 houses), 15m wide (very wide!), and 5m deep (deeper than most pools). So 2250 m³ is reasonable for such a large pool.

What if the problem gave different units like feet or centimeters?

+

The same formula works: length × width × height. Just make sure all dimensions use the same units before multiplying. Your final answer will be in cubic units of whatever you used.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations