Question

1. the diagram below represents a solid material of uniform composition. density = 2.7 g/cm³ the mass of this piece of material is approximately a) 9.3 g b) 4.4 g c) 0.23 g d) 32 g

Explanation:

Step1: Calculate the volume of the rectangular solid

The formula for the volume \(V\) of a rectangular solid is \(V = l\times w\times h\). Here, \(l = 3.0\space cm\), \(w=2.0\space cm\), \(h = 2.0\space cm\).

$$V=3.0\times2.0\times 2.0=12\space cm^{3}$$

Step2: Use the density formula to find the mass

The density formula is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass, and \(V\) is volume. Rearranging for \(m\) gives \(m=
ho\times V\). Given \(
ho = 2.7\space g/cm^{3}\) and \(V = 12\space cm^{3}\)

$$m=2.7\times12 = 32.4\space g\approx32\space g$$

Answer:

D. \(32\space g\)