An auditorium measures 43.0m × 18.0m × 15.0m. The density of air is 1.20 kg/m3. What is the volume of the room in cubic feet? (Do not input units. Note that 1m = 3.28ft)
My Answer 43x18x15 = 11,610 m^3
11,610m3 * 3.28ft m = 38,080.8 ft
When I used this number I got it incorrect and it said for me to use less figures
the dimensions are given to 3 sig fig
... that's what the answer should have
1 m^3 = (3.28 ft)^3
v = 43 * 18 * 15 * 3.28^3 ft^3
... use 3 significant figures in the answer
ok i got it, thanks.
4.10*10^5
To convert the volume of the room from cubic meters (m^3) to cubic feet (ft^3), you need to multiply the volume in cubic meters by the conversion factor 35.3147 ft^3/m^3. Let's calculate the volume of the room in cubic feet step by step:
First, calculate the volume in cubic meters:
Volume = length × width × height = 43.0 m × 18.0 m × 15.0 m = 11,610 m^3
Next, multiply the volume in cubic meters by the conversion factor to convert to cubic feet:
Volume in ft^3 = Volume in m^3 × 35.3147 ft^3/m^3
Using fewer decimal places, we get:
Volume in ft^3 = 11,610 m^3 × 35.3147 ft^3/m^3 ≈ 409,825.2 ft^3
Therefore, the volume of the auditorium is approximately 409,825.2 cubic feet.