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The height of a square pyramid is 12 cm and it's slant height is 20cm. what is the length of it's base?
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Answer:
For a square pyramid
Base edge =s=12cm
Slant height =l=10cm
Since the base of the pyramid is square,
Therefore, a=2diagonal
Diagonal of square of base 122cm
a=62cm
h=102−a2=102−622=100−72=18=32cm
Volume=31s2h=31×18×8=1442cm3
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Step-by-step explanation:
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Slant height means the height of the slanting triangle and all four are the same shape.
using Pythagoras:
Let x be half the length of one side,
x² + 10² = 20²
x² = 400 - 100 = 300
x = √300 = 34.6
Length of bas edge = 34.64 cm or 35 cm rounded.
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