a room is 18ft long, 15ft wide and from floor to ceiling is 8ft6inches. what is the rooms volume in cubic meters?
i have 6.498716 is this correct?
what is the mass of air in the room in kilograms assuming the density of the air is 1.2g/l and the room is empty of furniture.
i have mass of 1.2g/g=m/6.498716
then said m=1.2/6.498716 with an answer o 5.415596667 for the air density.
is this correct
6.4987 cubic meters is off by a factor of 10; should be 64.987 but that is too many significant figures.
I don't think your soln is correct for #2. mass = volume x density. You divided d/v which is not right.
To calculate the volume of the room in cubic meters, you need to convert the dimensions from feet to meters.
1 foot is approximately 0.3048 meters, so the length of the room in meters is 18 * 0.3048 = 5.4864 meters.
Similarly, the width of the room in meters is 15 * 0.3048 = 4.572 meters.
The height of the room in meters is 8.5 * 0.0254 = 2.159 meters (since 1 inch is equal to 0.0254 meters).
Now, to find the volume, you multiply the length, width, and height together:
Volume = 5.4864 * 4.572 * 2.159 = 54.62424 cubic meters.
So, the correct volume of the room is approximately 54.62424 cubic meters.
For the second question regarding the mass of air, you need to consider the density of air and the volume of the room.
Given that the density of air is 1.2 grams per liter, you need to first convert the volume of the room into liters.
The volume of the room is already in cubic meters, and since 1 cubic meter is equal to 1000 liters, we can simply multiply the volume by 1000:
Volume (in liters) = 54.62424 * 1000 = 54624.24 liters
Now, using the density of air, you can calculate the mass of air in the room:
Mass = Density * Volume
Mass = 1.2 g/L * 54624.24 L
Mass = 65549.088 grams
To convert grams to kilograms, divide the mass by 1000:
Mass (in kilograms) = 65549.088 g / 1000
Mass (in kilograms) = 65.549088 kilograms
So, the correct mass of air in the room, assuming a density of 1.2g/L, is approximately 65.549088 kilograms.