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?

a. what do you need to calculate before you can find the mass? what is that value? include units on your answer.

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 the formula \(V = l\times w\times h\), where \(l = 20\space cm\), \(w = 10\space cm\), and \(h = 5\space cm\).

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Step2: Use the density formula to find the mass

The density formula is \(
ho=\frac{m}{V}\), where \(
ho\) is the density, \(m\) is the mass, and \(V\) is the volume. We can solve for \(m\) (mass) by the formula \(m=
ho\times V\). Given \(
ho = 2.7\space g/cm^{3}\) and \(V = 1000\space cm^{3}\)

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Part a

Step1: Determine the required calculation

We need to calculate the volume of the granite block before we can find the mass.

Step2: Calculate the volume

Using the formula \(V=l\times w\times h\) with \(l = 20\space cm\), \(w = 10\space cm\), and \(h = 5\space cm\)

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Answer:

Part a

We need to calculate the volume. The volume \(V = 1000\space cm^{3}\)