The problem provides the density and mass of an object and asks for its volume. The density is $14 \frac{g}{cm^3}$ and the mass is $560 g$. We need to find the volume.

1. Problem Description

The problem provides the density and mass of an object and asks for its volume.

The density is $14 \frac{g}{cm^3}$ and the mass is $560 g$. We need to find the volume.

2. Solution Steps

We can use the formula relating density, mass, and volume:

$Density = \frac{Mass}{Volume}$

We can rearrange this formula to solve for the volume:

$Volume = \frac{Mass}{Density}$

Plugging in the given values:

$Volume = \frac{560 g}{14 \frac{g}{cm^3}}$

$Volume = \frac{560}{14} cm^3$

$Volume = 40 cm^3$

3. Final Answer

40 $cm^3$