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8. A carver begins work on a block of granite below. If the block of granite has a mass of 2700 g, what is the density of the granite? square

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8. A carver begins work on a block of granite below. If the block of granite has a mass
of 2700 g, what is the density of the granite?
square

8. A carver begins work on a block of granite below. If the block of granite has a mass of 2700 g, what is the density of the granite? square

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TristanProfessional · Tutor for 6 years

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\(2.7 \, \text{g/cm}^3\)

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## Step 1:<br />To calculate the density of the piece of granite, we need to know the mass and the volume of the block. The volume of a rectangular block can be calculated by multiplying its length, width, and height.<br />### **Volume = Length × Width × Height**<br /><br />## Step 2:<br />Given that the block of granite measures 20 cm by 10 cm by 5 cm, we can calculate the volume as follows:<br />### **Volume = 20 \, \text{cm} \times 10 \, \text{cm} \times 5 \, \text{cm} = 1000 \, \text{cm}^3**<br /><br />## Step 3:<br />The mass of the granite is given as \(2700 \, \text{g}\). The density of an object can be determined by dividing its mass by its volume.<br />### **Density = \frac{Mass}{Volume}**<br /><br />## Step 4:<br />Substitute the calculated volume and the given mass into the formula:<br />### **Density = \frac{2700 \, \text{g}}{1000 \, \text{cm}^3} = 2.7 \, \text{g/cm}^3**
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