August 5th, 2017, 12:11 PM  #1 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,063 Thanks: 722  Tank weight
A tank (open top) has the following inside dimensions: Length: 2 ft. Width: 2 ft. Depth: 1.5 ft. It is made of 1/8 in. thick lead. Determine weight of tank. Assume that lead weighs .41 lbs. / cu. in. I get ~703.76 lbs. and a headache! Anybody agree? 
August 5th, 2017, 12:36 PM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 872 Thanks: 60 Math Focus: सामान्य गणित 
I got ~ 1541.579 lbs
Last edited by MATHEMATICIAN; August 5th, 2017 at 01:10 PM. 
August 5th, 2017, 12:46 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,063 Thanks: 722  
August 5th, 2017, 01:18 PM  #4 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 872 Thanks: 60 Math Focus: सामान्य गणित 
I considered the bottom edges to have fillet

August 5th, 2017, 03:36 PM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,063 Thanks: 722  
August 5th, 2017, 04:25 PM  #6 
Senior Member Joined: May 2016 From: USA Posts: 857 Thanks: 348 
Bottom plate dimensions 28 X 28 X 2 = 1568 cubic inches Sides a and c dimensions 28 X 20 X 2 = 1120 cubic inches Sides b and d dimensions 24 X 20 X 2 = 960 cubic inches Total volume = 3648 cubic inches $0.41 * 3648 \approx 1496.$ I suppose you could shave some weight by having the outside edges curved rather than sharp, but it is cocktail hour. 
August 5th, 2017, 04:35 PM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,063 Thanks: 722 
But Jeff, the weight in question is only of the 1/8" "lead coat!", thus of the difference in volumes....mais non? 
August 5th, 2017, 05:01 PM  #8 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,453 Thanks: 489 Math Focus: Yet to find out. 
Imperial measure! Heck it could be anything then 
August 5th, 2017, 06:57 PM  #9 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 872 Thanks: 60 Math Focus: सामान्य गणित  
August 5th, 2017, 08:39 PM  #10 
Global Moderator Joined: Dec 2006 Posts: 18,245 Thanks: 1439 
119.159453125 lb


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