The edges of a square pyramid are of equal length.The height is 6√2 cm.
a)Find the length of the base edge.
b)Find the volume of the pyramid.
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given that,
edges of square pyramid are equal.
therefore,height=Base edge=62^1/2.
hence,a)length of the Base edge=62^1/2.
volume of pyramid=1/3×area of Base ×height.
but Base is in square shape,
we know that,area of square=side^2.
therefore,area of base=(62^1/2)^2=72sq.cm.
now,b)volume of pyramid=1/3×72×62^1/2=1442^1/2.
edges of square pyramid are equal.
therefore,height=Base edge=62^1/2.
hence,a)length of the Base edge=62^1/2.
volume of pyramid=1/3×area of Base ×height.
but Base is in square shape,
we know that,area of square=side^2.
therefore,area of base=(62^1/2)^2=72sq.cm.
now,b)volume of pyramid=1/3×72×62^1/2=1442^1/2.
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