Math Problem Statement

An apartment building has 6 floors. Each floor is 30 meters long, 20 meters wide and 4 meters high. What is the volume of the apartment building

Solution

To calculate the volume of the apartment building, we first need to find the volume of one floor, and then multiply it by the number of floors.

Step 1: Volume of one floor

The volume of a rectangular space is given by the formula:

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

For one floor:

  • Length = 30 meters
  • Width = 20 meters
  • Height = 4 meters

So, the volume of one floor is:

Volume of one floor=30×20×4=2400cubic meters\text{Volume of one floor} = 30 \times 20 \times 4 = 2400 \, \text{cubic meters}

Step 2: Volume of the entire building

The building has 6 floors, so the total volume is:

Total volume=2400×6=14,400cubic meters\text{Total volume} = 2400 \times 6 = 14,400 \, \text{cubic meters}

Final Answer:

The volume of the apartment building is 14,400 cubic meters.

Would you like further explanation on how to calculate volumes for different shapes, or do you have any other questions related to this? Here's a list of related questions you might find interesting:

  1. How do you calculate the volume of buildings with irregular shapes?
  2. What are other ways to calculate the volume of a rectangular building?
  3. How does the number of floors affect the total volume of a building?
  4. What would the volume be if the building had only 5 floors?
  5. How do we convert cubic meters to other units, like liters or gallons?

Tip: Always double-check the dimensions you're given (length, width, height) to make sure you're applying them correctly, especially when working with irregular shapes.

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Math Problem Analysis

Mathematical Concepts

Volume of Rectangular Prisms
Multiplication
Basic Arithmetic

Formulas

Volume = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 5-7