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?
Answers
Given : 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.
Side of base of square is 3 inches
slant height is 6 inches
To find : How much gold foil did it take to cover the trophy, including the bottom
Solution:
slant height is altitude of the triangle comprising a lateral face
Area of the base of pyramid = side² = 3² = 9 sq inches
Area of on lateral face = (1/2) * base * slant height
= (1/2) * 3 * 6
= 9 sq inches
Area of 4 lateral face = 4 * 9 = 36 sq inches
Total Area = 9 + 36 = 45 sq inches
gold foil required to cover the trophy, including the bottom = 45 sq inches
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