Question

¿cuál es la densidad de un cubo que mide 2.7 cm en cada lado y tiene una masa de 45.3 g? redondea cualquier decimal a la décima más cercana 2.3 g/cm³ 16.8 g/cm³ 0.4 g/cm³ 892.4 g/cm³

Explanation:

Step1: Calculate the volume of the cube

The formula for the volume \( V \) of a cube is \( V = s^3 \), where \( s \) is the length of a side. Given \( s = 2.7 \, \text{cm} \), we have:
\( V=(2.7)^3 = 2.7\times2.7\times2.7 = 19.683 \, \text{cm}^3 \)

Step2: Calculate the density

The formula for density \(
ho \) is \(
ho=\frac{m}{V} \), where \( m \) is mass and \( V \) is volume. Given \( m = 45.3 \, \text{g} \) and \( V = 19.683 \, \text{cm}^3 \), we calculate:
\(
ho=\frac{45.3}{19.683}\approx2.3 \, \text{g/cm}^3 \) (rounded to the nearest tenth)

Answer:

2.3 g/cm³ (corresponding to the first option: 2.3 g/cm³)