SAT Geometry Problem with Solution

Let’s solve the Geometry problem I posted on Tuesday. Here is the problem one more time, followed by a solution.

Level 4 Geometry

An ice cube with a side of length 2 centimeters has a density of approximately 0.92 grams per cubic centimeter. Given that density is defined as mass per unit volume, what is the mass of the ice cube, to the nearest gram?

Solution: The volume of the ice cube is V = 2³ = 8. The problem tells us that D = M/V, where D stands for density and M stands for mass. So, M = DV = 0.92 ⋅ 8 = 7.36 grams. To the nearest gram, this is 7.

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