Question

the piece of wood in the figure has a mass of 96.4 grams. determine its density.
image of a rectangular prism with dimensions 11.00 cm, 5.00 cm, 3.00 cm
options: 96.4, 5.00, 165, 0.584, 11.00, 3.00 (and previous options: 0.584, 5.00, 96.4, 165)

Explanation:

Step1: Calculate volume of the rectangular prism

The formula for the volume \( V \) of a rectangular prism is \( V = l \times w \times h \), where \( l = 11.00 \, \text{cm} \), \( w = 5.00 \, \text{cm} \), and \( h = 3.00 \, \text{cm} \).
\[
V = 11.00 \times 5.00 \times 3.00 = 165 \, \text{cm}^3
\]

Step2: Calculate density

Density \(
ho \) is given by the formula \(
ho = \frac{m}{V} \), where \( m = 96.4 \, \text{g} \) and \( V = 165 \, \text{cm}^3 \).
\[

ho = \frac{96.4}{165} \approx 0.584 \, \text{g/cm}^3
\]

Answer:

0.584