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 June 12th, 2018, 09:35 AM #1 Newbie   Joined: Jun 2018 From: Jersey Posts: 3 Thanks: 0 Confusion on algebra question please help Right so the question states that the volume of a triangular prism is 24cm cubed. it gave the length of the triangular prism as 5cm and the base of the cross sectional area 6. It wanted me to work out the height. So I converted it to algebra: (6*h/2) * 5 = 24cm^3 From there I went to: 6*h * 10 = 48cm^3 and from there I solved it down to h = 0.8cm However the answer is infact 1.6 cm (which agrees with all the other variables), the difference coming from the 10 being a five. My question is why on earth would the 5 stay a five when the entire equation must be multiplied by 2 to eliminate the /2??? Sorry if it's really obvious and I'm just not seeing it, thanks in advance. June 12th, 2018, 09:50 AM #2 Senior Member   Joined: Aug 2012 Posts: 2,354 Thanks: 735 If I give you 1/2 * 4 and I ask you to multiply that expression by 2, what do you get? 1/2 * 4 = 2, so multiplying by 2 gives you 4. If you multply 1/2 by 2 AND you multiply 4 by 2 you are in effect multiplying the whole expression by 4. It's already a multiplication. You are perhaps thinking that if it were 1/2 + 4 then you'd multiply both terms by 2. But when it's 1/2 x 4, you only want to multiply the expression by 2, once. Thanks from Charlie123 Tags algebra, confusion, geometry, question, trigonometry Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post taylor_1989_2012 Physics 2 April 4th, 2013 05:50 AM ludicrum Applied Math 2 October 9th, 2012 11:48 AM aaron-math Calculus 2 December 17th, 2011 08:28 PM jonas Algebra 3 June 3rd, 2011 12:44 PM roncarlston Algebra 9 March 15th, 2009 11:54 AM

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