Answer to Question #148818 in Geometry for anlp

Question

The lateral edge of a square prism is 20 cm long and it is inclined at an angle of 60 degrees with the base. If the volume of the prism is 1,200 cm3, determine the base edge.

Answer 1

Volume of prism = B²h

B = base edge ; h = height

h = 20 sin(60) = 17.32cm

1200 = 17.32B²

=> B² = 69.28

=> B = $\sqrt{69.28}$ = 8.32cm