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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

Akira received a prize at a science fair for having the most informative project. Her-example-1
User Sardorbek Ruzmatov
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1 Answer

16 votes
16 votes

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:


\begin{gathered} TotalArea=AreaTriangles+AreaSquare \\ A=4((1)/(2)bh)+b^2=4((1)/(2)\cdot6\cdot15)+6^2 \\ A=180+36=216\operatorname{cm} \\ A=216\operatorname{cm} \end{gathered}

User Terrorfall
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