SAT Question 11b06e35: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice A is correct. It's given that the sample is in the shape of a cube with edge lengths of $0.60$ meters. Therefore, the volume of the sample is $0.60^3$, or $0.216$, cubic meters. It's also given that the sample has a density of $813$ kilograms per $1$ cubic meter. Therefore, the mass of this sample is $\left(0.216\text{cubic meters}\right)\left(\frac{813\text{kilograms}}{1\text{cubic meter}}\right)$, or $175.608$ kilograms. Rounding this mass to the nearest whole number gives $176$ kilograms. Therefore, to the nearest whole number, the mass, in kilograms, of this sample is $176$.