Question

1. a carver begins work on a block of granite that measures 20 cm by 10 cm by 5 cm. granite has a density of 2.7 g/cm³. what is the mass of the piece of granite? b. what is the mass of the piece of granite? give a numerical answer only.

Explanation:

Step1: Calculate the volume of the granite block

The volume \( V \) of a rectangular - prism (the shape of the granite block) is given by \( V=l\times w\times h \), where \( l = 20\mathrm{cm}\), \( w = 10\mathrm{cm}\), and \( h = 5\mathrm{cm}\).
\( V=20\times10\times5=1000\mathrm{cm}^3 \)

Step2: Use the density formula to find the mass

The density formula is \(
ho=\frac{m}{V} \), where \(
ho = 2.7\mathrm{g/cm}^3\) (density) and \( V = 1000\mathrm{cm}^3\) (volume). Rearranging for mass \( m\), we get \( m=
ho\times V \).
\( m=2.7\times1000 = 2700\)

Answer:

2700