Question 1011569
The base of the solid figure shown is a cube with sides that measure {{{6 }}}inches. 
the total surface area of the base is: 

{{{6*(6in)^2=6*36in^2=216in^2}}}

The top portion is a square pyramid with a slant height of {{{l=5in}}} 

 the total surface area of the square pyramid without base (base area is already included in cube area) will be:

{{{4*((5in*6in)/2)=2*30in^2=60in^2}}}


then, the total surface area of the solid is {{{216in^2+60in^2=276in^2}}}

so, your answer is: c.{{{276}}}