Chemistry Problem involving specific heat capacity and energy change

[maceng7]

Homework Statement

A cube of gold is heated to a temperature of 94.2 degrees celsius, and then submerged in 31.3 mL of water at an initial temperature of 28.7 degrees celsius. If the final temperature of the water is 45.6 degrees celsius, calculate the volume of the cube of gold (s=0.130, density = 19.3 g/mL)

Homework Equations

The Attempt at a Solution

I don't really know where to start however, what if I found how much energy is required to heat water from 28.7 to 45.6 degrees celsius and then used that amount (q) to find the mass of gold using the specific heat capacity of gold? Any suggestions would be greatly appreciated, thanks

 

[Borek]

Where is the problem with finding volume of the cube once you know its mass and the gold density?