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.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
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Respuesta :

This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram

Answer:

45 square inches

Step-by-step explanation:

From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =

Total Surface Area of the Square pyramid = 2bs + b²

Where s = Height of the square pyramid

b = Edge length of the square pyramid

From the attached diagram, we can see that:

s = 6 inches

b = 3 inches

Total Surface Area of the Square pyramid = 2bs + b²

= 2 × 3 × 6 + 3²

= 36 + 9

= 45 square inches.

Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches

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