Question

Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. Its mass is 20 grams, and its density is 7.87 g/cm3. What’s the larger cube’s volume?

Answer 1

See this solution ,it will help u.
If not please message me

Answer 2

The density of the larger cube is $5.08\ cm^3$.

Explanation:

The larger cube has twice the mass of the smaller cube.

The mass of the smaller cube, m = 20 grams

The density of the smaller cube, $d=7.87\ g/cm^3$

Let V is the density of the smaller cube. The mass per unit volume is called density of a cube. It is given by :

$d=\dfrac{m}{V}\\\\V=\dfrac{m}{d}\\\\V=\dfrac{20\ g}{7.87\ g/cm^3}\\\\V=2.54\ cm^3$

For larger cube, m' = 2 m

Density of the karger cube :

$d=\dfrac{2m}{V'}\\\\V'=\dfrac{2m}{d}$

The density will remain same, as they both are made up of same material

$V'=\dfrac{2\times 20}{7.87}\\\\V=5.08\ cm^3$

so, the density of the larger cube is $5.08\ cm^3$.

Learn more,

Density

https://brainly.in/question/3125625