Question

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?​

Answer 1

Answer:

The surface area is $156\ in^{2}$  

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

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

where

$b=6\ in$

$l=10\ in$ -----> the slant height

substitute the values

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

$SA=156\ in^{2}$