Can you find the volume?

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My teacher requires work shown. if its not too much a hassle please show work!!. thank you.

1 Answer
SCooke
Mar 2, 2017

Yes. Calculate the height, then use the formula for the volume.

Explanation:

This is a square pyramid. The formula for its volume is
V = (1/3)* (S^2*h)V=(13)⋅(S2⋅h)
You can calculate the height, h, from the triangle formed by line from the center to the base, as shown. The angle is 60^o60o and the length is ½ of the base, or 6 cm. The length of the opposite side is the tangent of 60^o60o * 6 (tan = opp/adj). (10.4)

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