Answer:
The mass of a lead cube whose sides have length 1.5 cm is 40.5 grams
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mass of the cube made out of lead = 12 grams
Side of the cube = 1 cm
2. What would be the mass of a lead cube whose sides have length 1.5 cm?
For answering the question, let's calculate the volume of the cube and then its density, this way:
Volume = Height * Width * Length
Volume = 1 * 1 * 1
Volume = 1 cm³
Let's recall the formula of the density:
Density = Mass/Volume, therefore:
Density of the lead = 12/1 = 12 gr/cm³
Now, let's calculate the volume of the second cube:
Volume = Height * Width * Length
Volume = 1.5 * 1.5 * 1.5
Volume = 3.375 cm³
Finally, let's calculate the mass, using the density of the lead we already know:
Density = Mass/Volume
12 = Mass/3.375
Mass = 12 * 3.375
Mass = 40.5 grams
