Asquare pyramid and a cube have the same surface area don’t of each side of the base of the square pyramid is 10 feet the width of the cube is 6 feet what is the lateral height of the square pyramid

The lateral height of the square pyramid is

Step-by-step explanation:

step 1

Find the surface area of the cube

The surface area of the cube is equal to

where

b is the length side of the cube

w have

substitute

step 2

Find the lateral height of the square pyramid

we know that

the surface area of the square pyramid  is equal to

where

B is the area of the base

b is the base of the lateral triangle (base of the square)

h is the lateral height of the square pyramid

-----> is the same surface that the cube

substitute the values and solve for h