Your bedroom is 18 ft long and 15 ft wide, and the distance from floor to ceiling is 8 ft 6 in. You need to know the volume of the room in metric units for some scientific calculations.

(a). What is the room’s volume in cubic meters?

(b). What is the mass of air in the room in kilograms? (Assume density of air is 1.2 g/ L and the room is empty of furniture.)

ft x 12"/ft x 2.54 cm/in x 1m/100cm = ?meters

Convert 18ft, 15 ft, an 8.5ft to meters, then volume = length x width x height. That will give you #1.

For #2, convert cubic meters to liters (I would go from cubic meters to cc, then to L), then volume x density = mass in grams.

ok quick question i got the lxwxh and then that would be # 1 .. for i take the answers from one and convert them to liters.. ?/

There are 100 cm in 1 m; therefore,

?cubic meters x (1m/100 cm)^3 = x cc.
Then convert x cc to liters (you remember 1000 cc = 1L)

ok so a was 84.9 vol .. so i take that and then.. i then take the m and convert them to kil.. then do the vxd=m

ok for 2 i did m= 1.2g/l /84.9= .0141 then moved dec. 3 places which made it 14.1 kg is that right or close..

No, for two reasons.

#1. I think the volume is closer to 65 m^3 so you need to rethink that part.
#2. I screwed up on the conversion of m^3 to cc.
m^3 x (100cm/1m) x (100 cm/1m) x (100 cm/1m) = x cc. Divide that by 1000 to convert to L. I think the answer is close to 65,000 L.
65,000 L x 1.2 g/L = ?grams and grams/1000 = kg. My final answer is about 78 kg.

To calculate the volume of the room in cubic meters, we need to convert the dimensions from feet to meters.

First, let's convert the length from feet to meters. Since 1 meter is equal to 3.28084 feet, we divide the length (18 ft) by 3.28084:

Length in meters = 18 ft / 3.28084 = 5.4864 meters (rounded to four decimal places)

Next, let's convert the width from feet to meters. Again, we divide the width (15 ft) by 3.28084:

Width in meters = 15 ft / 3.28084 = 4.572 meters (rounded to three decimal places)

Now, let's convert the height from feet and inches to meters. Since 1 inch is equal to 0.0254 meters, and there are 12 inches in a foot, we can calculate the height in meters:

Height in meters = (8 ft * 0.3048 m/ft) + (6 in * 0.0254 m/in) = 2.4384 meters

Now that we have all the measurements in meters, we can calculate the volume of the room by multiplying the length, width, and height:

Volume in cubic meters = Length x Width x Height
= 5.4864 m x 4.572 m x 2.4384 m
= 61.7256 cubic meters (rounded to four decimal places) (a)

To calculate the mass of the air in the room, we need to know the volume of the air and the density of air. We already know the volume of the air (61.7256 cubic meters), and the density of air is given as 1.2 g/L.

First, we need to convert the density of air from grams per liter to kilograms per cubic meter. Since there are 1000 liters in a cubic meter, we divide the density by 1000:

Density of air in kg/m^3 = 1.2 g/L / 1000 = 0.0012 kg/m^3

Now, to calculate the mass of air in the room, we multiply the volume of air by the density of air:

Mass of air in kilograms = Volume in cubic meters x Density of air in kg/m^3
= 61.7256 cubic meters x 0.0012 kg/m^3
= 0.07407 kilograms (rounded to five decimal places) (b)

Therefore, the room's volume is approximately 61.7256 cubic meters (a), and the mass of air in the room is approximately 0.07407 kilograms (b).