Akira received a prize at a science fair for having the most informative project. Her trophy is in the shape a square pyramid and is covered in shiny gold foil

Let's begin by listing out the information given to us:
The shape of the trophy is a square pyramid (4 triangular faces & 1 square)
Heigh (h) = 15cm, Base (b) = 6cm
We are to solve for the surface area which is given by the formula:
[tex]\begin{gathered} TotalArea=AreaTriangles+AreaSquare \\ A=4(\frac{1}{2}bh)+b^2=4(\frac{1}{2}\cdot6\cdot15)+6^2 \\ A=180+36=216\operatorname{cm} \\ A=216\operatorname{cm} \end{gathered}[/tex]