A house is 44.0 ft long and 24.0 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters 

To calculate the volume of the interior of the house, we first need to determine the volume in cubic feet and then convert it to cubic meters.

### Step 1: Calculate the volume in cubic feet
The volume \( V \) is calculated by multiplying the length, width, and height (ceiling height) of the house:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

Substituting the given values:

\[
V = 44.0 \, \text{ft} \times 24.0 \, \text{ft} \times 8.0 \, \text{ft} = 8448 \, \text{cubic feet}
\]

### Step 2: Convert cubic feet to cubic meters
To convert cubic feet to cubic meters, use the conversion factor \( 1 \, \text{cubic foot} = 0.0283168 \, \text{cubic meters} \).

\[
V_{\text{m}^3} = 8448 \, \text{cubic feet} \times 0.0283168 \, \text{cubic meters per cubic foot}
\]

\[
V_{\text{m}^3} \approx 239.12 \, \text{cubic meters}
\]

So, the volume of the interior of the house is approximately **239.12 cubic meters**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the volume change if the ceiling height was increased by 2 feet?
2. What is the total surface area of the walls and ceiling?
3. How would you calculate the volume if the house had a slanted roof?
4. How would the volume be affected if there were interior walls?
5. How much air (in cubic meters) would be needed to fill the house?

**Tip:** Always double-check unit conversions to ensure accuracy in calculations.

A house is 44.0 ft long and 24.0 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters?

Learn how to calculate the volume of a house that is 44.0 ft long, 24.0 ft wide, and 8.0 ft high, and convert the result to cubic meters. This problem covers geometric volume calculation and unit conversion, suitable for students in Grades 6-8.

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