1) 75 % 2) 85.5 % 3) 72.8 % 4) 50 % 5) 100 % 6) 125.5 % 7) 150 % 8) 75.5 % 9) 90.25 %
10)200 %
Solution
Let the side of the cube is 1 meter Then volume of that cube = 1*1*1 = 1 cubic meter 20% of 1 meter = 0.2 meter Then side of cube = 1+.2 = 1.2 Hence new volume of the cube = 1.2*1.2*1.2 = 1.728 = 172.8 %
Increment in the volume = (172.8 � 100) % = 72.8 %
Correct Option: 3 Best Solution (58)Akash Agrawal 9 years AGO
old volume of cube=a3 and new side of cube=a+0.2a=1.2a new volume of cube=(1.2a)3=1.728a3 volume increase=(1.728-1)a3=0.728a3
so %increase vol=72.8
Like? Yes (14) | No (2) susmit 9 years AGOVolume of the cube = (side)^3 Let the side be x So volume will be x3 Now the side becomes 1.2x so the volume will be (1.2x)^3 = 1.728x^3. Therefore increase in volume is (1.728x^3/x^3) 1.728x^3 - x^3 = 0.728x^3 Therefore percentage increase in volume is (.728x^3/x^3)*100 - 72.8% Hence option no. (3)
Like? Yes (8) | No (1) Rajasekhar Reddy 9 years AGOLet the side of cube is 10 volume = 1000 on increasing 20% side of cube is 12 and volume is 1728 1728-1000 = 728
(728/1000)*100 = 72.8
Like? Yes (8) | No (3) R.RAVIKUMAR 9 years AGOlet side of volume be "a".. the side of volume is increased by 20%=> side becomes (1.2*a) the volume increases by ((1.2*a)^3)-a^3 => ((1.2^3)-1)=1.728-1=0.728
The volume incresed by 0.728*100=72.8%
Like? Yes (5) | No (1) nitesh singh 9 years AGOVolume =a*a*a So as side increase 20% Increasing three times 100~120~144~172.8
So 72.8% increase
Like? Yes (5) | No (1) Muhammad Nadeem Haider Naseem 9 years AGOSuppose the sides of a cube are each increased by 20%. What is the percentage increase in the surfaace area of the solid? Area is a function of the square of the sides. 1.2*s = 1.2^2*area = 1.44*area = 44% increase What is the percentage increase in the volume of the solid? Volume is a function of the cube of the sides. 1.2*s = 1.2^3*V = 1.728V
= 72.8% increase
Like? Yes (5) | No (2) Grishma Shah 9 years AGOsuppose side of a cube is x by increasing its side by 20% new side will be 1.2 x Volume of a cube is V that is proportion to side^3 so volume of a new cube will be 1.728 x^3 so increase in new volume is (new volume - old volume)*100/old volume thus (1.728 x ^3 -x^3)*100 /x^3 so answer is 72.8 %
Like? Yes (5) | No (2) Pooja P 9 years AGOlet side of cube be x then its volume=x^3 side length increases by 20% then new side=x+(20/100x)=6/5x then new volume=(216/125)x^3 increase in volume=((216/125)-1)x^3=72.8%
Like? Yes (5) | No (2) RAKESH 9 years AGOlet x be side of cube, volume=x^3 after 20% increase side is=x+x*20/100=6x/5 new volume=(216/125)*x^3 increase in volume=(216/125)*x^3-x^3=(91/125)*x^3 % increase in volume=(91/125)*x^3/x^3 *100 =72.8%
Like? Yes (3) | No (1) jagdish sharma 9 years AGOlet we assume the side of cube=x Then volume of cube =x^3 increasing the side by 20% then length =1.2x Volume=(1.2x)^3=1.728x^3
increased volume=(1.728-1)x^3=.728=72.8%
Like? Yes (3) | No (1) ChinnaChowdaiah 9 years AGOLets take side of the cube= a then volume = a^3 on increasing the side of cube 20% the side become= a+0.2a then volume= (a+0.2a)^3 Increase in volume = ((a+0.2a)^3 -(a^3)) / (a^3) * 100 = 72.8%
so answer is 72.8%
Like? Yes (3) | No (1) Jyothi 9 years AGOa=10 b=12 Vola=1000 volb=1728 %=728/100=72.8
Like? Yes (3) | No (1) A J V 9 years AGOLet the Old side = a. So, Old volume = a * a * a = a^3 Now, New side = (a + 20% of a) = a + 0.2a = 1.2a Then, New volume = (1.2a)(1.2a)(1.2a) = (1.2 * 1.2 * 1.2)a^3 = 1.728a^3 Volume increase = (1.728 - 1)a^3 = 0.728a^3
Percentage increase in volume = (increase / old volume) x 100% = (0.728/1)*100% = 72.8%
Like? Yes (2) | No (1) Dipika Singh 9 years AGOlet us cnsider side of cube =x so,volume=x^3 on increasing side by 20% will give side=(6*x)/5 new volume=1.728*(x^3) volume increases by=1.728*(x^3)-(x^3)=0.728*(x^3) in percentage=72.8%
ans:option 3
Like? Yes (3) | No (2) b.s.venkatesh 9 years AGOa*a*a=let a=100=100*100*100=1000000 120*120*120=1728000 diff=728000/1000000
=72.8%
Like? Yes (2) | No (1) Rajan 9 years AGOin case of square cube all the sides will be same so the 20% increase makes the volume as v=120/100*120/100*120/100(l*b*h) v=1728/1000(l*b*h) v=1.728(l*b*h)
making it a significance increase of 72.8 %
Like? Yes (1) | No Amit kumar 9 years AGOlet the initial volume of Cube Be 100. when side in increased by 20%. Final volume= 100*(120/100)*(120/100)*(120/100) == 172.8
Volume Increased = (172.8-100)/100= 72.8%
Like? Yes (2) | No (1) Rashmi bharti 9 years AGOOld Side = x(let) New Volume = 1.2*1.2*1.2x=1.728x Gain =0.728x;
So 72.8%
Like? Yes (2) | No (1) priya 9 years AGO answer = optin 3.
if the side of a cube =1 and its v=1. if its increased by 20% the side should be 6/5 and now the volume is 216/125. the difference is 0.728. if i coverted in to % the answer will be 72.8%
let the side of cube be 1 . then volume of cube = 1^3=1. now, let the increased side be 1.2 then increased vol = 1.2^3 = 1.728.
therfore increase in vol. = 1.728 - 1.0 =0.728 =72.8 %
Like? Yes (2) | No (1) AMIT JAISWAL 9 years AGOlet the side of cube be 1 . then volume of cube = 1^3=1. now, let the increased side be 1.2 then increased vol = 1.2^3 = 1.728.
therfore increase in vol. = 1.728 - 1.0 =0.728 =72.8 %
Like? Yes (2) | No (1) rajith lakshmanan 9 years AGOlet cube side be 'a', when increase in side it become 1.2a, volume of cube is (side)^3 increase in volume= ((1.2a)^3-a^3)/a^3=0.728
% increase =72.8%
Like? Yes (1) | No UMAPATHI 9 years AGOconsider side of cube as 100 then it's volume is =100^3 1000000. now side is increased by 20% we get new side as 120 (we can calculate side by ( 100+(20/100)*100 ) now new volume is 120^3=1728000 increase in volume is new volume-old volume =1728000-1000000 =728000 then percentage increase in volume is =(728000/1000000)*100
=72.8%
Like? Yes (2) | No (1) sivaramakrishna 9 years AGO((6/5*6/5*6/5)-1)*100=91/125*100==>72.8%
Like? Yes (1) | No VIKASH RAY 9 years AGOlet he initial volume of the cube(v1)=x^3 where x is the side of the cube. since yhe side of the cube increases by 20% so the new volume of the cube (v2)=(120x/100)^3 again, by formula we know that, %change in volume=[{(final volume)-(initial volume)}/(initial volume)]*100 so,by calculation we get the result....
Like? Yes (1) | No Suman 9 years AGOLet us assume each side is x unit so, volume is x^3 unit^3 Now increasing each side by 20% each side become (x+0.2x) unit or 1.2x unit. So,now volume of the cube is (1.2x)^3 unit^3 or 1.728 unit^3. So. volume increased by ((1.728-1)*x^3/x^3)*100% or 72.8%
Thank u....
Like? Yes (1) | No Diksha 9 years AGOlet side be 100 & v1 = 100^3 after increment side will be 100 +20% of 100 = 120 and v2 = 120^3 now,
( 120^3 - 100^3)/ 100^3 * 100 = 72.8%
Like? Yes (1) | No Sandeep Negi 9 years AGOlet side of cube be a and its volume become a^3 nw side bcm 1.2a so...1.2*1.2*1.2=1.728 so volume bcm 1.728a^3 or a^3 + .728a^3 so inc in volume is .728a^3
which is 72.8% of original volume.
Like? Yes (1) | No Devendra Marghade 9 years AGOIf side of cube=x, volume=x^3 on 20% increase in side, it becomes x+x*20/100=1.2x New volume=1.2x*1.2x*1.2x=1.728x^3
So % increase in volume=100*1.728x^3/x^3=72.8
Like? Yes (1) | No (1) Suman Saurabh 9 years AGOLet original side of cube=1 unit After increasing side by 20% length of side=1.2 unit
Increase in volume=(1.728-1)/1 * 100 =72.8%
Like? Yes (1) | No (1) FAISAL RIZWAN 9 years AGOArea of a cube is a^3 But it is increased by 20% ie (100+20)/100=1.2% So a^3=(1.2)^3=1.728 Now the Volume increased by is 1.728/100=72.8%
So option 3 is correct
Like? Yes (2) | No (2) SHIVANI PRAKASH 9 years AGOvolume=s^3 now,new s=1.2s new vol=(1.2s)^3 thus increase=(1.2s)^3-s^3
=72.8%
Like? Yes (1) | No (1) arijit sarkar 9 years AGOif side of the cube is x then volume x^3 if side increase by 20% then side will be (125*x)/100= (6x/5) so new volume (6x/5)^3=216x^3/125 increase (216x^3/125)-x^3=(91x^3/125)
so percentage=(91x^3/125) *100= 72.8%
Like? Yes (1) | No (1) SHAIK SADDAM HUSSAIN 9 years AGOOld side = m. Old volume = m*m*m =m^3 New side =(m+20%ofm)=m+0.2m=1.2m New volume =(1.2m)(1.2m)(1.2m) = (1.2*1.2*1.2)m^3 = 1.728m^3 Volume increase = (1.728-1)m^3 =0.728m^3 Percentage increase in volume = (increase / old volume)x100% =(0.728/1)*100% =72.8%
Like? Yes (1) | No (1) abhi 9 years AGOcube volume is a^3 let a=10 vol=10*10*10=1000 increase by 20% then a=12 vol=12*12*12=1728 increase=1728-1000=728
%increase=(728*100)/1000=72.8
Like? Yes (1) | No (1) Prakash kumar 9 years AGOx change to (6/5)*x thr4 vol : x^3 change to (216/125)*x^3 % incrse in vol =[{(216/125) - 1}/1]*100
= 72.8 %
Like? Yes (1) | No (1) ArunKumar 9 years AGOOld side = x. Old volume = x^3 New side = (x + 20% of x = x + 0.2x = 1.2\x New volume = = (1.2 * 1.2 * 1.2)x^3 = 1.728x^3 Volume increase = (1.728 - 1)m^3 = 0.728m^3
Percentage increase in volume = (increase / old volume) x 100% = (0.728/1)*100% = 72.8%
Like? Yes (1) | No (1) Harjit kaur 9 years AGOSide of cube=x Vol of cube=x^3 Vn side increased by 20% Side of cube=x+x/5=6x/5 Vol=6x/5^3
Vol increased by{(6x/5)^3-x^3}*100%=72.8%
Like? Yes (1) | No (1) Jigyasa Kumar 9 years AGOs+0.2s = 1.2s volume = (1.2s)^3 v = 1.728 v = 172.8%
increase in vol = (172.8 -100)% = 72.8%
Like? Yes (1) | No (1) GAYATHRI 9 years AGOlet the side of the cube be 10 volume=1000 if the side increases by 20% then a=12 volume=1728 728 is 72.8 percentage of 1000
Like? Yes (1) | No (1) PRAMIT SINHA 9 years AGOLet side of the cube is a . So, On increasing the side of a cube by 20 % a(side) becomes (a*120)/100 Now we know that volume of a cube is=side^3 =a*a*a=a^3 Now Increased volume is =(a*a*a*120*120*120)/(100*100*100) =172.8/100
So volume increases by 72.8% (Ans)
Like? Yes (1) | No (1) Lavankumar Reddy 9 years AGOSide s then Volume v=s^3 Suppose s=100 then Volume v=100^3=1000000 Then s increased 20% then s=120 after V=120^3 =1728000 Then 1728000-1000000=728000
Then Volume increased percentage is = 728000/1000000= 72.8%
Like? Yes (1) | No (1) Jasmine Khan 9 years AGOas we know that volume of cube=l*w*h that volume increase three times by 20% therefore net % change after two times of increment (x+y+xy/100) 40+4=44 consider w=44 net % change after three times of increment (w+z+wz/100) (44+20+880/100)
64+8.8=72.8
Like? Yes (1) | No (1) Saurabh Keshri 9 years AGOlet side=x after increment side=6x/5 vol=216x^3/125 increment in vol=91x^3 increase%=(91/125)*100
=72.8
Like? Yes (1) | No (1) mrityunjay kumar ray 9 years AGO1.2*S=1.2^3*V =1.728v
=72.8%
Like? Yes (1) | No (1) DHIRENDRA 9 years AGOlet side of cube is 100 then volume of cube=(100)^3=1000000 side incresed by 20% then new side will be 120 volume=(120)^3=1728000
% of increment in volume=(1728000-1000000)*100/1000000=72.8% answer
Like? Yes (1) | No (1) Parveen Soni 9 years AGOlet side be a then volume=a^3 .........(1) now on side increment new side=6/5(a) new volume=216/125(a^3) .........(2)
% volume increment= [ (2)-(1) ]*100=72.8%
Like? Yes (2) | No (2) mirtunjay verma 9 years AGOlet size of a cube is 5 and increase 20% will 6
so we take the volume for 5 and 6 respectively so it would be =125,216 so increase % will 72.8%
v=a^3 a is increased by 20% that means a=1.2a (1.2a)^3=1.728v
1.728-1=0.728= 72.8%........
Like? Yes (1) | No (1) ARJYA HALDER 9 years AGOLET the size of the side of the cube is 100. then, the volume=(100)^3=1000000 After incresing 20%, side becomes 120. volume becomes=(120)^3=1728000.
increase is=(1728000-1000000)*(100/1000000)=72.8%
Like? Yes (1) | No (1) sahil chugh 9 years AGOlet,a=10 vol of cube=a^3 then vol=1000 if we inc 20% then 1728
inc % is=(728/1000)100=72.8%
Like? Yes (1) | No (1) Neha Sharma 9 years AGOLonger, but to give more explanation perhaps: Old side = m. Old volume = m * m * m = m^3 New side = (m + 20% of m) = m + 0.2m = 1.2m New volume = (1.2m)(1.2m)(1.2m) = (1.2 * 1.2 * 1.2)m^3 = 1.728m^3 Volume increase = (1.728 - 1)m^3 = 0.728m^3
Percentage increase in volume = (increase / old volume) x 100% = (0.728/1)*100% = 72.8%
Like? Yes (1) | No (1) Abhinav damalanka 9 years AGO1.2*1.2*1.2=1.728
0.728*100/1=72.8%
done easily by assuming some values.. volume of cube =side^3 first let s=10-->vol=1000; now 20%increase in each side-->s=12-->vol=1728; % inc in vol={(1728-1000)/1000}*100 =72.8%
Like? Yes (1) | No (1) Quaisar Rizwan 9 years AGOHere,Area of a cube is a^3 But it is increased by 20% i.e (100+20)/100=1.2% So a^3=(1.2)^3=1.728 Now the Volume increased by is 1.728/100=72.8%
So option 3 is correct
Like? Yes (1) | No (2)
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