Question

what is the density of the cube?
density = \frac{mass}{volume}
this is especially important in florida, where hurricanes and tornadoes are experienced. malia is using toy cubes to practice constructing a small building. the cube has a volume of 6 cm³ and a mass of 2 grams.
and stable, making it an ideal shape for building structures. the uniform shape and even distribution of weight of a cube ensure that a building can withstand external forces such as wind and earthquakes.

Explanation:

Step1: Substitute values into density formula

Density formula is \( \text{Density}=\frac{\text{Mass}}{\text{Volume}} \). Given mass \( = 2\) grams and volume \( = 6\) \(cm^{3}\).
So, \( \text{Density}=\frac{2}{6} \).

Step2: Simplify the fraction

Simplify \( \frac{2}{6}\) by dividing numerator and denominator by 2. \( \frac{2\div2}{6\div2}=\frac{1}{3}\approx0.33\) \(g/cm^{3}\).

Answer:

The density of the cube is \( \frac{1}{3}\text{ g/cm}^3\) (or approximately \(0.33\text{ g/cm}^3\)).