SOLUTION: A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.

Question 1097348: A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.
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Sketch the figure::
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Find the diagonal of the base:: d^2 = 4^2+4^2; d = 4*sqrt(2)
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Find the height::
h^2 = 5^2 + (2sqrt(2))^2
h^2 = 5^2 + 8 = 33
height = sqrt(33)
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Ans:: Volume = (1/3)(height)(area of base) = (1/3)(sqrt(33))16 cm^2
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Cheers,
Stan H.
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