Amplify 0 - 3.3V DAC signal to 0 - 10V
One approach is to use a non-inverting amplifier at the end of the DAC output, supplied by atleast 10 volts. 



The DAC output in this case will be \$V_{in}\$

\$ V_o = V_{in}( 1 + R_1/R_2)\$

Lets say we want  \$V_o = 10V\$ , when \$V_{in}= 3.3V\$

\$10 = 3.3(1+R_1/R_2)\$

\$10/3.3-1 = 2.0303 = R_1/R_2\$

So one way to go at it , is make a non-inverting amplifier with a gain of roughly 2, by using 2Kohm for feedback resistor \$R_1\$ and 1Kohm for the other resistor \$R_2\$

8-bit resolution means the range is 255 discrete voltages. So 10V/255 bits = \$ 39.2mV\$/ bit