Math Problem Statement
the height is 2.5m the width is 15
Solution
Thank you for the correction. Let's recalculate with the correct dimensions.
Updated Dimensions:
- Height of the pool = 2.5 meters (instead of 1.5 meters)
- Width of the pool = 15 meters (instead of 10 meters)
Part (a): Find the area of one side of the pool (shaded).
The shaded area is still a rectangle. With the corrected height, the area is:
Part (b): Find the volume of the pool in liters.
Using the corrected width, the volume is calculated as:
Now, convert this volume to liters:
Summary of Updated Results:
- (a) The area of one side of the pool is 62.5 m².
- (b) The volume of the pool is 937,500 liters.
Would you like to explore these results further or ask any questions?
Additional Questions:
- How does the increase in height affect the overall volume of the pool?
- If the width was only increased to 12 meters instead of 15 meters, what would be the new volume?
- What is the ratio of the area to the volume of the pool?
- How many liters of water are needed to fill 80% of the pool?
- What would be the area if the height was reduced by 1 meter?
Tip: Always double-check dimensions before calculations, as even small changes can significantly affect the final results, especially in volume-related problems.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume calculation
Unit conversion
Formulas
Volume of a rectangular prism: Volume = Length × Width × Height
Theorems
-
Suitable Grade Level
High School
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