Question

If the density of an object is 2.87 x 10⁻⁴ lbs/cubic inch, what is its density in g/ ml?

Answer 1

To convert the density from 2.87 x 10⁻⁴ lbs/cubic inch to grams per milliliter, we first convert pounds to grams and then cubic inches to milliliters. The result of these conversions is that the density is approximately 7.947 x 10⁻⁷ g/mL.

Step-by-step explanation:

To convert the density of an object from pounds per cubic inch (lbs/in³) to grams per milliliter (g/mL), we need to use conversion factors to switch from the imperial system to the metric system. The given density is 2.87 x 10⁻⁴ lbs/cubic inch.

First, we convert pounds to grams. Knowing that 1 pound is equivalent to 454 grams, we can multiply:

2.87 x 10⁻⁴ lbs/in³ * 454 g/lb = 1.30278 x 10⁻⁴ g/in³

Then, we need to convert cubic inches to milliliters. Since 1 inch is 2.54 cm and 1 cm³ is equivalent to 1 mL, we cube the conversion factor from inches to centimeters and apply it:

(2.54 cm/in)³ = 16.387064 cm³/in³ = 16.387064 mL/in³

1.30278 x 10⁻⁴ g/in³ / 16.387064 mL/in³ = 7.947 x 10⁻⁷ g/mL

Therefore, the density in metric units is approximately 7.947 x 10⁻⁷ g/mL.

Answer 2

To convert the density from lbs/cubic inch to g/ml, use conversion factors to convert pounds to grams and cubic inch to milliliter.

Step-by-step explanation:

To convert the density of an object from pounds per cubic inch (lbs/cubic inch) to grams per milliliter (g/ml), we need to use conversion factors.

First, we need to convert pounds to grams. 1 pound is equal to 454 grams, so we can multiply the density by 454 to convert it from pounds to grams.

Next, we need to convert cubic inch to milliliter. 1 cubic inch is equal to 16.39 milliliters (1 in³ = 16.39 ml). So, we can divide the density by 16.39 to convert it from cubic inch to milliliter.

Combining these conversion factors, the density of the object in g/ml would be (2.87 x 10⁻⁴ lbs/in³) * (454 g/lb) / (16.39 ml/in³).