Question

Suppose a room is 9 feet long and 8 feet​ wide, with 7​-foot ceilings. How many cubic feet of space needs to be heated or​ cooled?

Answer 1

To find the volume of the room, you can use the formula for volume, which is:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

In this case:

- Length = 9 feet
- Width = 8 feet
- Height = 7 feet

Now, plug the values into the formula:

\[
\text{Volume} = 9 \, \text{ft} \times 8 \, \text{ft} \times 7 \, \text{ft}
\]

Calculating that gives:

\[
\text{Volume} = 9 \times 8 = 72 \, \text{ft}^2
\]
\[
\text{Volume} = 72 \times 7 = 504 \, \text{ft}^3
\]

Therefore, the volume of the room is **504 cubic feet**. This is the amount of space that needs to be heated or cooled.