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 = [tex]s^2[/tex]
where s is the side length
The the surface area of the base = [tex]3^2[/tex] = 9 square inches
Step 2: The surface area of the side triangles
The area of the triangle = [tex]\frac{1}{2}\times \text{side length} \times \text{slant height}[/tex]
On substituting the values,
The area of the triangle =[tex]\frac{1}{2} \times 3 \times 6[/tex]
The area of the triangle = [tex]\frac{18}{2}[/tex]
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
