Answer :
Sure! To find the number of cubic feet of air in the room, we need to calculate the volume of the room. The volume of a rectangular space, like a classroom, is found by multiplying its length, width, and height. Here's how you do it step-by-step:
1. Identify the Dimensions:
- Length of the classroom: 19 feet
- Width of the classroom: 2 feet
- Height of the classroom: 10 feet
2. Calculate the Volume:
- Use the formula for volume of a rectangular prism:
[tex]\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]
3. Plug in the Values:
- Volume = 19 feet 2 feet 10 feet
4. Multiply the Dimensions:
- First, multiply the length and the width:
[tex]\[
19 \times 2 = 38 \text{ square feet}
\][/tex]
- Then, multiply the result by the height:
[tex]\[
38 \times 10 = 380 \text{ cubic feet}
\][/tex]
Therefore, the volume of the room is [tex]\(380\)[/tex] cubic feet.
So, the number of cubic feet of air in the room is [tex]\(380\)[/tex] cubic feet. The correct option from the choices given is [tex]\(380 \text{ ft}^3\)[/tex].
1. Identify the Dimensions:
- Length of the classroom: 19 feet
- Width of the classroom: 2 feet
- Height of the classroom: 10 feet
2. Calculate the Volume:
- Use the formula for volume of a rectangular prism:
[tex]\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]
3. Plug in the Values:
- Volume = 19 feet 2 feet 10 feet
4. Multiply the Dimensions:
- First, multiply the length and the width:
[tex]\[
19 \times 2 = 38 \text{ square feet}
\][/tex]
- Then, multiply the result by the height:
[tex]\[
38 \times 10 = 380 \text{ cubic feet}
\][/tex]
Therefore, the volume of the room is [tex]\(380\)[/tex] cubic feet.
So, the number of cubic feet of air in the room is [tex]\(380\)[/tex] cubic feet. The correct option from the choices given is [tex]\(380 \text{ ft}^3\)[/tex].
