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2 answers:
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Answer:
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