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

correct

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.