If the density of an object is 2.87 x 10^-3 lbs/cubic inch, what is its density in g/mL? Express your answer in scientific notation rounded to 2 decimal places. You may use the following conversion factors: 1 lb = 454 g, 1 inch = 2.54 cmType ONLY NUMERIC ANSWER (without units). Use "x" sign for multiplication, and "^" sign to type the exponent term, while leaving no spaces in between (to earn computer credit).
Question
If the density of an object is 2.87 x 10^-3 lbs/cubic inch, what is its density in g/mL? Express your answer in scientific notation rounded to 2 decimal places. You may use the following conversion factors: 1 lb = 454 g, 1 inch = 2.54 cmType ONLY NUMERIC ANSWER (without units). Use "x" sign for multiplication, and "^" sign to type the exponent term, while leaving no spaces in between (to earn computer credit).
Solution
First, we need to convert lbs to grams. We know that 1 lb = 454 g. So, we multiply the density by this conversion factor:
2.87 x 10^-3 lbs/inch^3 * 454 g/lb = 1.30318 g/inch^3
Next, we need to convert cubic inches to milliliters. We know that 1 inch = 2.54 cm, so 1 cubic inch = (2.54 cm)^3 = 16.387 mL. So, we divide the density by this conversion factor:
1.30318 g/inch^3 / 16.387 mL/inch^3 = 0.0795 g/mL
So, the density of the object is approximately 7.95 x 10^-2 g/mL.
Similar Questions
The density of a substance is 676.68 kg/m3. Convert the density to g/cm3.Group of answer choices67668 g/cm36.77 g/cm30.677 g/cm367.7 g/cm3
The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is
The density of a substance is 1.63 gm per ml. What is the mass of 0.25L of the substance in grams
An object has a mass of 20 g and displaces a volume of 5 mL. What is the object's density?
What is the density of an object with a mass of 20g and a volume of 7mL?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.