8. PUZZLES Potter's Puzzles sells a wooden
pyramid puzzle. The base is a square
with side lengths of 6 inches. The slant
height is 10 inches. What is the surface
area of the puzzle? The internet gets 95.7squared inches, but how?​

Respuesta :

Answer:

The surface area is [tex]156\ in^{2}[/tex]  

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

[tex]SA=b^{2}+4[\frac{1}{2}(b)(l)][/tex]

where

[tex]b=6\ in[/tex]

[tex]l=10\ in[/tex] -----> the slant height

substitute the values

[tex]SA=6^{2}+4[\frac{1}{2}(6)(10)][/tex]

[tex]SA=156\ in^{2}[/tex]