Question

Can you find the volume?

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

Answer 1

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)`
You can calculate the height, h, from the triangle formed by line from the center to the base, as shown. The angle is `60^o` and the length is ½ of the base, or 6 cm. The length of the opposite side is the tangent of `60^o` * 6 (tan = opp/adj). (10.4)