Question

question 6 (1 point) a silver - colored cube is handed to you. the person wants you to buy it, saying that it is a block of solid platinum. you find that the density of platinum is 21.5 g/cm³. you measure the cube and find that it is 4.6 cm on each side, and weighs 922 g. what is its density? options: 100.2 g/cm³, 9.5 g/cm³, 57.4 g/cm³, 17.8 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 \( s = 4.6 \, \text{cm} \), we calculate \( V=(4.6)^3 \).
\( 4.6\times4.6 = 21.16 \), then \( 21.16\times4.6 = 97.336 \, \text{cm}^3 \).

Step2: Calculate the density

The formula for density \(
ho \) is \(
ho=\frac{m}{V} \), where \( m \) is the mass and \( V \) is the volume. Given \( m = 922 \, \text{g} \) and \( V = 97.336 \, \text{cm}^3 \), we calculate \(
ho=\frac{922}{97.336} \approx 9.5 \, \text{g/cm}^3 \).

Answer:

B. \( 9.5 \, \text{g/cm}^3 \)