The density of water i 1.00 g/cm^3.
Express this density in lb/ft^3.
(1 lb = 454 grams)
You can look up different conversions but I try to keep those I must memorize to a minimum. It sometimes makes a problem long because I don't remember many.
There are 454 g in a pound.
There are 2.54 cm in an inch; therefore, there are 2.54 x 2.54 x 2.54 cm^3 in a cubic inch.
There are 12 inches in a foot; therefore, there are 12 x 12 x 12 cubic inches in a cubic foot.
1.00 g/cc x (1 lb/454 g) x (2.54 cm/1") x (2.45 cm/1") x (2.54 cm/in") x (12"/1 ft) x (12"/1 ft) x (12"/1 ft) = ??
You should get about 62.4 lbs/ft^3 but I rounded here and there. You need to go through it. Check my thinking. Check my work.
To convert the density of water from g/cm³ to lb/ft³, we need to use the following conversion factors:
1 lb = 454 grams
1 ft = 30.48 cm
(1 ft)^3 = (30.48 cm)^3
So, let's begin the conversion:
1. Convert the density from g/cm³ to lb/in³:
1.00 g/cm³ * (1 lb / 454 g) = 0.00220462 lb/cm³
2. Convert cm³ to in³:
Since 1 cm = 0.393701 in, we can calculate (1 cm)^3 = (0.393701 in)^3
(1 cm)^3 = 0.0610237 in³
Now, let's proceed to convert lb/in³ to lb/ft³:
3. Convert lb/in³ to lb/ft³:
0.00220462 lb/cm³ * (0.0610237 in³ / 1 cm³) * ((30.48 cm)^3 / 1 ft³) = 62.42796 lb/ft³
Therefore, the density of water in lb/ft³ is approximately 62.43 lb/ft³.
To express the density of water in lb/ft^3, we need to convert the given density of 1.00 g/cm^3 to lb/ft^3. Here's how you can do it:
Step 1: Convert grams to pounds.
We are given that 1 lb is equal to 454 grams.
Therefore, to convert grams to pounds, divide the density in grams (1.00 g/cm^3) by the conversion factor (454 grams/lb):
1.00 g/cm^3 ÷ 454 grams/lb = 0.0022 lb/cm^3
Step 2: Convert cm^3 to ft^3.
We know that 1 ft is equal to 30.48 cm, so 1 ft^3 is equal to (30.48 cm)^3:
(30.48 cm)^3 = 28316.8466 cm^3
Therefore, to convert cm^3 to ft^3, divide the density in lb/cm^3 (0.0022 lb/cm^3) by the conversion factor (28316.8466 cm^3/ft^3):
0.0022 lb/cm^3 ÷ 28316.8466 cm^3/ft^3 = 0.0000777 lb/ft^3
So, the density of water is approximately 0.0000777 lb/ft^3.