400 قیراط بر روی cm مکعب=? مثقال بر روی mm مکعب

We know that 1 metric carat is equal to 0.2 grams.

$$400 \text{ قیراط} = 400 \times 0.2 \text{ گرم} = 80 \text{ گرم}$$

We use the conversion factor that 1 mesghal is approximately 4.608 grams.

$$80 \text{ گرم} = 80 \text{ گرم} \times \frac{1 \text{ مثقال}}{4.608 \text{ گرم}} = \frac{80}{4.608} \text{ مثقال}$$

We know that 1 cm = 10 mm. Therefore, 1 cubic centimeter is:

$$1 \text{ cm}^3 = (10 \text{ mm})^3 = 1000 \text{ mm}^3$$

Now, we substitute the converted values into the original expression:

$$400 \frac{\text{قیراط}}{\text{cm}^3} = \frac{80 \text{ مثقال} / 4.608}{1000 \text{ mm}^3}$$ $$= \frac{80}{4.608 \times 1000} \frac{\text{مثقال}}{\text{mm}^3}$$ $$= \frac{80}{4608} \frac{\text{مثقال}}{\text{mm}^3}$$ $$= 0.0173611... \frac{\text{مثقال}}{\text{mm}^3}$$

Rounding to three significant figures:

$$0.0174 \frac{\text{مثقال}}{\text{mm}^3}$$