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2. a block of wood 3.0 cm on each side and has a mass of 27 g. what is …

Question

  1. a block of wood 3.0 cm on each side and has a mass of 27 g. what is the density of this block?

Explanation:

Step1: Calculate the volume of the block

The block is a cube with side length \(a = 3.0\ cm\). The volume of a cube \(V=a^{3}\), so \(V=(3.0\ cm)^{3}=27\ cm^{3}\).

Step2: Use the density formula

The density formula is \(
ho=\frac{m}{V}\), where \(m = 27\ g\) and \(V = 27\ cm^{3}\). Then \(
ho=\frac{27\ g}{27\ cm^{3}} = 1\ g/cm^{3}\).

Answer:

\(1\ g/cm^{3}\)