The height of pyramid will be 21 inches.
We have a square pyramid with one side of 17 inches and volume of the pyramid is 2023 inches cubed.
We have to find the height of this pyramid.
What is the formula to find the Volume of the pyramid with base length = L, base width = w and pyramid height = h?
The formula to find the volume of the pyramid with base length = L, base width = w and pyramid height = h is -
V = [tex]\frac{Lwh}{3}[/tex]
for square pyramid - L = w = a (say)
V = [tex]\frac{a^{2} h}{3}[/tex]
h = [tex]\frac{3V}{a^{2} }[/tex]
Substituting the values -
h = [tex]\frac{3\times 2023}{17\times17}[/tex] = 21 inches
Hence, the height of pyramid will be 21 inches.
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