Latest Elitmus Aptitude Question SOLUTION: if the perimeter of the 3 rectangle of a cuboid is x,y,z then what is the volume of the cuboid. (i dont remember the value of x,y,z)

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(#M40159039) ELITMUS Numerical Ability question Keep an EYE

if the perimeter of the 3 rectangle of a cuboid is x,y,z then what is the volume of the cuboid.
(i dont remember the value of x,y,z)

Asked In Elitmus sandhya Ratan (7 years ago)

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SWATI TANMAYA RATH  (7 years ago)

2(a+b)=x
2(b+c)=y
2(c+a)=z
Solve these three equations.
You will get 4a=x-y+z
Find a,b,c
Then volume=abc

Is this solution Helpfull? Yes (2) | No (1)  

pawan  (7 years ago)

2(l+b)=x
2(b+h)=y
2(h+l)=z
4(l+b+h)=x+y+z
then you can find the value of l,b,h
and the volume =l*h*b

Is this solution Helpfull? Yes (2) | No   

Ekant Chawla  (7 years ago)

Let the side be a,b,c.
First divide the values by 2 so that you get the sum of each unique pair of edges(a+b, a+c, b+c).

now add 2 of these and subtract the third for all 3 combos, that is
x/2+y/2-z/2,
x/2+z/2-y/2 and
y/2+z/2-x/2.

this will give you double of each edge, divide these by 2 and you are have all the edges of teh cuboid

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rahul  (7 years ago)

l*b=x .....(1)
b*h=y .......(2)
l*h=z ..........(3)
because having only this three combination of area.
now,
l*b*h=volume of cuboid
(l^2 *b^2*h^2)^1/2=volume of cuboid .......(4)
so, by equation 1,2,3&4
we get
(x*y*z)^1/2=volume of cuboid
volume

Is this solution Helpfull? Yes (1) | No (9)  

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