My Math Forum Tank weight

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 August 5th, 2017, 11:11 AM #1 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,848 Thanks: 766 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, 11:36 AM #2 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित I got ~ 1541.579 lbs Last edited by MATHEMATICIAN; August 5th, 2017 at 12:10 PM.
August 5th, 2017, 11:46 AM   #3
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Quote:
 Originally Posted by MATHEMATICIAN I got ~ 1422.756 lbs
I say NO WAY to that!

 August 5th, 2017, 12:18 PM #4 Math Team     Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित I considered the bottom edges to have fillet
August 5th, 2017, 02:36 PM   #5
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Quote:
 Originally Posted by Denis I get ~703.76 lbs. and a headache!
Goofed! Should be ~120. Made stupid error...

 August 5th, 2017, 03:25 PM #6 Senior Member   Joined: May 2016 From: USA Posts: 922 Thanks: 368 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, 03:35 PM #7 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,848 Thanks: 766 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, 04:01 PM #8 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,539 Thanks: 516 Math Focus: Yet to find out. Imperial measure! Heck it could be anything then
August 5th, 2017, 05:57 PM   #9
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Quote:
 Originally Posted by Denis But Jeff, the weight in question is only of the 1/8" "lead coat!", thus of the difference in volumes....mais non?

I took 1/8 ft

I got ~ 118.9269 lbs

 August 5th, 2017, 07:39 PM #10 Global Moderator   Joined: Dec 2006 Posts: 18,704 Thanks: 1529 119.159453125 lb Thanks from Denis

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