Capgemini
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Numerical Ability
Area and Volume
Julie has a box that is 12 by 12 by 4. find the surface area of the open box with a base of that is 12 by 12 and open. find the surface area of the open box if the base was 12 by 4. Which box has more surface area.?
Read Solution (Total 4)
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- Since the base is 12 by 12 it will have one surface area . there is no lid
surface area of box = 1*(12*12) +2(12*4)+2*(12*4)
=144+96+96
=336 sq. units
Since the base is 12 by 4 it will have one surface area . there is no lid
base = 12 by 4
1*(12*4)+2*(12*12)+2(12*4)
=48+288+96
= 432 sq. units - 11 years agoHelpfull: Yes(11) No(1)
- given:height(h)=12,width(w)=12,lenght(l)=4
formula:Total Surface Area = 2(Area(h*w)) + 2(Area(h*l)) + 2(Area(w*l))
i)if base(h*w)=12*12 then lid is open where h=12,w=12 and from above l=4
hence formula is:1(Area(h*w)) + 2(Area(h*l)) + 2(Area(w*l))
surface area of box = 1*(12*12) +2(12*4)+2*(12*4)
=144+96+96
=336 sq. units
ii)given base(h*w)=12*4 then one lid is open hence h=12,w=4 n from above l=12
formula is:1(Area(h*w)) + 2(Area(h*l)) + 2(Area(w*l))
1*(12*4)+2*(12*12)+2(12*4)
=48+288+96
= 432 sq. units
- 10 years agoHelpfull: Yes(3) No(0)
- 2nd box has more surface area
SA of 1st box => 12*4*4=192
SA of 2nd box => (12*2 + 4*2) * 12= 384 - 11 years agoHelpfull: Yes(2) No(11)
- Since the base is 12 by 12 it will have one surface area . there is no lid
surface area of box = 1*(12*12) +2(12*4)+2*(12*4)=144+96+96=336 sq. units
Since the base is 12 by 4 it will have one surface area . there is no lid
base = 12 by 4
1*(12*4)+2*(12*12)+2(12*4)=48+288+96= 432 sq. units
- 9 years agoHelpfull: Yes(1) No(0)
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