Question

A solid metal cube of side 1-2 cm has a mass of 15 grams.

Answer 1

Answer:

The mass of the second cube is about 1085.07 grams.

Step-by-step explanation:

I assume '1-2 cm' means 1.2cm here. Correct me if I am wrong and I'll edit my answer.

First, find the density of this cube:

$d=\frac{m}{v}$

where d is density, m is mass, and v is volume.

We have one of those, but we also need volume. The volume of a cube is just:

$v=a^3$

where a is the length of a side.

$\rightarrow v=1.2^3\\\rightarrow v=1.728$

The volume of this cube is 1.728cm³. Now, you can find the density;

$\rightarrow d=\frac{15}{1.728}\\\rightarrow d\approx8.6806$

The density of this material is about 8.68 grams per cubic centimeter.

Finally, you can use that density to find the mass of the other cube. Fin the volume of the second cube:

$\rightarrow v=5^3\\\rightarrow v=125$

The volume is 125cm³. Given the density and the volume, you can calculate the mass:

$\rightarrow d=\frac{m}{v}\\\rightarrow 8.6806=\frac{m}{125}\\\rightarrow 8.6806\times125=m\\\rightarrow m=1085.0694$

The mass of the second cube is about 1085.07 grams.