Math Problem Statement

In front of Mr Smith’s house is a rectangular swimming pool measuring 8 by 6 by 3. What is the capacity of the swimming pool?

Solution

To calculate the capacity of the swimming pool, we determine its volume. Since the swimming pool is rectangular, the formula for the volume is:

Volume=Length×Width×Depth\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}

Given dimensions:

  • Length (ll) = 8 meters
  • Width (ww) = 6 meters
  • Depth (dd) = 3 meters

Substitute these values into the formula:

Volume=8×6×3=144cubic meters\text{Volume} = 8 \times 6 \times 3 = 144 \, \text{cubic meters}

The capacity of the swimming pool is 144 cubic meters.


Additional Information:

  1. If you want the capacity in liters, multiply the volume by 1,000 (since 1 cubic meter = 1,000 liters). Capacity in liters=144×1,000=144,000liters.\text{Capacity in liters} = 144 \times 1,000 = 144,000 \, \text{liters}.

Would you like further details or clarifications?


Related Questions:

  1. What is the weight of the water in the pool if filled, assuming 1 liter of water weighs 1 kilogram?
  2. How would the capacity change if the depth is increased to 4 meters?
  3. What is the surface area of the swimming pool, excluding the bottom?
  4. How long would it take to fill the pool with a flow rate of 10 liters per second?
  5. What is the cost of filling the pool if water costs $2 per 1,000 liters?

Tip:

Always ensure the dimensions are in consistent units when calculating volume or capacity.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Unit Conversion

Formulas

Volume = Length × Width × Depth
1 cubic meter = 1,000 liters

Theorems

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Suitable Grade Level

Grades 5-7