Question

What is the volume in cubic meters of a room that is 22’ long and 16’ wide with 10’ high walls

Answer 1

To calculate the volume of the room in cubic meters, we first need to convert the dimensions from feet to meters. The conversion factor is:

1 foot = 0.3048 meters.

Now, we can convert the dimensions:

- Length: \( 22 \text{ ft} \times 0.3048 \text{ m/ft} = 6.7056 \text{ m} \)
- Width: \( 16 \text{ ft} \times 0.3048 \text{ m/ft} = 4.8768 \text{ m} \)
- Height: \( 10 \text{ ft} \times 0.3048 \text{ m/ft} = 3.048 \text{ m} \)

Next, we calculate the volume using the formula for the volume of a rectangular prism (Volume = Length × Width × Height):

\[
\text{Volume} = 6.7056 \text{ m} \times 4.8768 \text{ m} \times 3.048 \text{ m}
\]

Calculating this:

\[
\text{Volume} \approx 6.7056 \times 4.8768 \times 3.048 \approx 104.137 \text{ cubic meters}
\]

Thus, the volume of the room is approximately **104.14 cubic meters**.