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Mekhanik [1.2K]
3 years ago
7

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid

and is covered in shiny gold foil.
How much gold foil did it take to cover the trophy, including the bottom?
Mathematics
2 answers:
Marianna [84]3 years ago
6 0

Answer:

216cm

Step-by-step explanation:

Khan Academy

PolarNik [594]3 years ago
3 0

Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

Step-by-step explanation:

Total surface  =  surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square =  

where s is the side length

The the surface area of the base  = = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle =

On substituting the values,

The area of the triangle =

The area of the triangle =

The area of the triangle = 9 square inches

Now the area of 4 triangles  =  4 x 9  = 36 square inches

Thus the total surface area  =  9 + 36 = 45 square inches

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