Question
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
Answer
4.5
(264 Votes)
Tristan
Professional · Tutor for 6 years
Answer
Explanation
## Step 1: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.### **Volume = Length × Width × Height**## Step 2:Given that the block of granite measures 20 cm by 10 cm by 5 cm, we can calculate the volume as follows:### **Volume = 20 \, \text{cm} \times 10 \, \text{cm} \times 5 \, \text{cm} = 1000 \, \text{cm}^3**## Step 3:The mass of the granite is given as
. The density of an object can be determined by dividing its mass by its volume.### **Density = \frac{Mass}{Volume}**## Step 4:Substitute the calculated volume and the given mass into the formula:### **Density = \frac{2700 \, \text{g}}{1000 \, \text{cm}^3} = 2.7 \, \text{g/cm}^3**