The correct answer is 10.5 in.
What is a square pyramid?
A square pyramid has a square base and four lateral faces.
How to find the height of the birdhouse in in.?
volume of the square pyramid is given V = 224 in³
length of a side of the square base is given a = 8 in
The formula for volume of pyramid is
V = [tex]\frac{a^{2}h}{3}[/tex]
[tex]224 = \frac{(8)^{2} h}{3}[/tex]
h = [tex]\frac{224(3)}{64}[/tex]
h = 10.5 in.
Hence the height of the birdhouse is 10.5 in.
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