My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Thanks Tree1Thanks
Reply
 
LinkBack Thread Tools Display Modes
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?
Denis is offline  
 
August 5th, 2017, 12:36 PM   #2
Math Team
 
MATHEMATICIAN's Avatar
 
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.
MATHEMATICIAN is offline  
August 5th, 2017, 12:46 PM   #3
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 11,063
Thanks: 722

Quote:
Originally Posted by MATHEMATICIAN View Post
I got ~ 1422.756 lbs
I say NO WAY to that!
Denis is offline  
August 5th, 2017, 01:18 PM   #4
Math Team
 
MATHEMATICIAN's Avatar
 
Joined: Jul 2013
From: काठमाडौं, नेपाल

Posts: 872
Thanks: 60

Math Focus: सामान्य गणित
I considered the bottom edges to have fillet
MATHEMATICIAN is offline  
August 5th, 2017, 03:36 PM   #5
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 11,063
Thanks: 722

Quote:
Originally Posted by Denis View Post
I get ~703.76 lbs. and a headache!
Goofed! Should be ~120. Made stupid error...
Denis is offline  
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.
JeffM1 is offline  
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?
Denis is offline  
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
Joppy is online now  
August 5th, 2017, 06:57 PM   #9
Math Team
 
MATHEMATICIAN's Avatar
 
Joined: Jul 2013
From: काठमाडौं, नेपाल

Posts: 872
Thanks: 60

Math Focus: सामान्य गणित
Quote:
Originally Posted by Denis View Post
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
MATHEMATICIAN is offline  
August 5th, 2017, 08:39 PM   #10
Global Moderator
 
Joined: Dec 2006

Posts: 18,245
Thanks: 1439

119.159453125 lb
Thanks from Denis
skipjack is offline  
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
tank, weight



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Filling a tank nathan Pre-Calculus 1 August 29th, 2014 04:23 PM
Water remaining in inner cubic tank bounded by outer tank chuackl Calculus 2 December 27th, 2013 06:06 PM
water remaining in tank chuackl Calculus 11 November 4th, 2013 12:30 AM
a Tank Holds... Shamieh Algebra 7 July 27th, 2013 04:58 PM
Tank problem Tiome_nguyen Calculus 2 December 15th, 2011 02:25 PM





Copyright © 2017 My Math Forum. All rights reserved.