Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

$\\frac{2,860\\text{ kilograms}}{0.915\\text{ cubic meters}} \\cdot \\f…

Question

$\frac{2,860\text{ kilograms}}{0.915\text{ cubic meters}} \cdot \frac{1\text{ cubic meter}}{1.0 \cdot 10^6\text{ cm}^3} \cdot \frac{1000\text{ grams}}{1\text{ kilogram}}$○ 1○ 2○ 3

Explanation:

Step1: Cancel matching units

$\frac{2,860 \text{ kilograms}}{0.915 \text{ cubic meters}} \cdot \frac{1 \text{ cubic meter}}{1.0 \cdot 10^6 \text{ cm}^3} \cdot \frac{1000 \text{ grams}}{1 \text{ kilogram}}$
Cancels to: $\frac{2,860 \cdot 1000 \text{ grams}}{0.915 \cdot 1.0 \cdot 10^6 \text{ cm}^3}$

Step2: Calculate numerator

$2,860 \times 1000 = 2,860,000$

Step3: Calculate denominator

$0.915 \times 1.0 \times 10^6 = 915,000$

Step4: Divide numerator by denominator

$\frac{2,860,000}{915,000} \approx 3.126$
This value rounds to 3.

Answer:

$\boldsymbol{3}$ (Option 3)