Question

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 chair free including the bottom​

Answer 1

Answer:

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 =  $s^2$

where s is the side length

The the surface area of the base  = $3^2$ = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle = $\frac{1}{2}\times \text{side length} \times \text{slant height}$

On substituting the values,

The area of the triangle =$\frac{1}{2} \times 3 \times 6$

The area of the triangle = $\frac{18}{2}$

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

Answer 2

Answer:

45

Step-by-step explanation: