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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 trophy is in the shape a square pyramid and is covered in shiny gold foil class=

Respuesta :

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]

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