Question

a plastic cube has a side length of 5 centimeters and a mass of 162.5 grams. will the toy float or sink in glycerin with a density of 1.26 g/cm³?
use the drop - down arrow to choose the correct answer to complete the sentences.
the density of the plastic cube is g/cm³.
the plastic cube will in glycerin.

Explanation:

Step1: Calculate the volume of the cube

The volume formula for a cube is \(V = s^3\), where \(s\) is the side - length. Given \(s = 5\space cm\), then \(V=5^3=125\space cm^3\).

Step2: Calculate the density of the cube

The density formula is \(
ho=\frac{m}{V}\), where \(m\) is the mass and \(V\) is the volume. Given \(m = 162.5\space g\) and \(V = 125\space cm^3\), then \(
ho=\frac{162.5}{125}=1.3\space g/cm^3\).

Step3: Compare the density of the cube with the density of glycerin

The density of glycerin is \(
ho_{glycerin}=1.26\space g/cm^3\). Since \(
ho_{cube}=1.3\space g/cm^3>
ho_{glycerin}\)

Answer:

The density of the plastic cube is \(1.3\space g/cm^3\). The plastic cube will sink in glycerin.