QUESTION IMAGE
Question
the density of a mystery metal is 455 noup/nollag. what is the density of the metal in g/ml? (remember... 1 ml = 1 cm³)
| et units | et-metric relations |
| length | 1 elim = 4500 toofs
1 dray = 5 toofs
1 toof = 15 chins | 1 chin = 5.00 cm |
| mass | 1 noup = 12 zones | 1 noup = 255 g |
| volume | 1 nollag = 2 halfs = 4 stips | 1 nollag = 4.50 l |
Step1: Convert noup to grams
We know that \( 1 \text{ noup} = 255 \text{ g} \), so for 455 noup, the mass in grams is \( 455 \times 255 \text{ g} \).
\( 455\times255 = 116025 \text{ g} \)
Step2: Convert nollag to liters then to milliliters
We know that \( 1 \text{ nollag} = 4.50 \text{ L} \), and since \( 1 \text{ L} = 1000 \text{ mL} \), we first convert nollag to liters and then to milliliters.
For 1 nollag, volume in liters is \( 4.50 \text{ L} \), so volume in milliliters is \( 4.50\times1000 = 4500 \text{ mL} \)
Step3: Calculate density in g/mL
Density is mass divided by volume, so we use the formula \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \)
Substituting the values we found: \( \text{Density} = \frac{116025 \text{ g}}{4500 \text{ mL}} \)
\( \frac{116025}{4500}=25.783\cdots\approx25.8 \text{ g/mL} \) (rounded to three significant figures)
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\( \approx 25.8 \text{ g/mL} \)