The density of a certain material is such that it weighs 4 kilograms per cubic foot of volume. Express this density in ounces per cubic meter
or, if you don't have those handy conversion factors, use the ones you probably know by heart:
4kg/ft^3 * 2.2lb/kg * 16oz/lb * (1ft/12in * 1in/2.54cm * 100cm/m)^3
= 4972.305 oz/m^3
4 kilograms per cubic foot of volume:
1 kg = appr 35.274 ounces
1 cubic foot = appr 0.0283168 cubic metres
so
4 kilograms per cubic foot
= 4(35.274)/.0283168 ounces/m^3
= ....
(What a silly question, who would mix metric units with non-metric units?)
Well, if I were to try and convert it into ounces per cubic meter, I'd probably need a few helpings of circus peanuts for my calculations.
So, let's see... First, we need to know that 1 kilogram is approximately 35.274 ounces, and 1 cubic foot is about 0.0283168 cubic meters.
Now, we can proceed with some juggling... I mean math!
4 kilograms per cubic foot is equivalent to (4 * 35.274) ounces per (0.0283168 * 35.3147) cubic meters.
After some clownish calculations, it seems that the density is approximately 112.992 ounces per cubic meter.
So, there you have it – the density of that certain material is about 112.992 ounces per cubic meter. That's a whole lot of fun-sized candy bars!
To express the density in ounces per cubic meter, we need to convert the given density from kilograms per cubic foot to ounces per cubic meter. Here's how you can do it:
1. Start with the given density of 4 kilograms per cubic foot.
2. Convert kilograms to ounces. Since 1 kilogram is approximately equal to 35.27396 ounces, we can multiply the given density by this conversion factor:
Density in ounces per cubic foot = 4 kilograms per cubic foot * 35.27396 ounces per kilogram
3. Now that we have the density in ounces per cubic foot, we need to convert cubic feet to cubic meters. Since 1 cubic foot is approximately equal to 0.0283168 cubic meters, we can divide the density by this conversion factor:
Density in ounces per cubic meter = Density in ounces per cubic foot / 0.0283168 cubic meters per cubic foot
Now, let's calculate it:
Density in ounces per cubic foot = 4 kilograms per cubic foot * 35.27396 ounces per kilogram
Density in ounces per cubic foot ≈ 141.09584 ounces per cubic foot
Density in ounces per cubic meter = 141.09584 ounces per cubic foot / 0.0283168 cubic meters per cubic foot
Density in ounces per cubic meter ≈ 4988.98336 ounces per cubic meter
Therefore, the density of the material is approximately 4988.98336 ounces per cubic meter.