Sarai wrapped a soccer

ball in a box in the shape of a square

pyramid. The box has a base with

sides 12 inches and a slant height of

20 inches. How many square inches of

cardboard were used to make the box?

Respuesta :

Answer:

624 square inches of  cardboard were used to make the box.

Step-by-step explanation:

Slant height of the box = l = 20 inches

Side of the base of the box = s = 12 inch

Area of the base = [tex]s^2[/tex]

Area of triangular face = [tex]\frac{1}{2}\times s\time l[/tex]

There are 4 triangle faces, and single square base , so the total area is :

[tex]T=s^2+4\times \frac{1}{2}s\times h[/tex]

[tex]=(12 inch)^2+4\times \frac{1}{2}\times 12 inch\times 20 inch[/tex]

[tex]T=624 inch^2[/tex]

624 square inches of  cardboard were used to make the box.