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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

2 Answers

0 votes

Answer:

IT'S 216 TRUST ME!

Explanation:

User Earloc
by
7.1k points
2 votes

Answer:

45 square inches

Explanation:

Akira receives the prize at the 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

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

Calculate the surface area of the base square

surface area of the square = s^2

where s= side length

s=3 in

The surface area of the base =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles = 4 x 9

= 36 square inches

Therefore,

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

= 9 + 36

= 45 square inches

Akira receives a prize at a science fair for having the most informative project. Her-example-1
User Yike Lu
by
6.6k points
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