A cube made out of lead has mass 12 grams. A side of the cube has length 1 cm. What would be the mass of a lead cube whose sides have length 1.5 cm?

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