hexagonal prism volume/special triangles/conversions in one!
Fred has installed a new swimming pool. The pool is shaped like a right hexagonal prism with a radius of 12 feet and a depth of 7 feet. They plan to have a pool party on the Fourth of July. If they begin filling the pool at noon on the first of July, will the pool be fully filled by noon on the Fourth? (necessary information: the hose filling the pool can produce 2 gallons of water every 30 seconds. To convert from cubic feet to gallons, you multiply by 7.48)
I got that the equation is 3*A*S where A is the apothem and S is the side... I got that it will only take 30 minutes to fill the pool and I know that is wrong... I've done it multiple times and I keep getting that. Is that right or am I wrong :confused: ? I also know that we had to find the apothem and had to use the 30-60-90 special triangles and I had 12 as the hypotenuse, 6 as the side length, and I got 10.39 as the apothem. HELP!!