Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 3)
3.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
720
900
1200
1800
Answer: Option
Explanation:

2(15 + 12) x h = 2(15 x 12)

h = 180 m = 20 m.
27 3

Volume = 15 x 12 x 20 m3 = 1200 m3.
3

Video Explanation: https://youtu.be/V8EQ1YIaH74

Discussion:
75 comments Page 7 of 8.

Prim said:   1 decade ago
@sonu thanks.

Sonu said:   1 decade ago
Yes the surface area of cuboid is 2(lb+bh+hl)
But surface area of 4 walls doesnot includes areas of floor+ceiling. thats why Total area of walls = 2(lb+bh+bl) - 2 (lb) = 2(hb+lh) = 2(b+l)h

Arya said:   1 decade ago
Surface area of a cuboid we have 2(l+b)*h
and surface area of cuboid is 2 (lb + bh + lh) sq. units
whats the difference in this..
which apply where??

Jordan said:   1 decade ago
Here given that

Area of four walls = (area of the base )+(area of ceiling)

Area of base is (l*b)
Area of ceiling is (l*b)
so (area of the base )+(area of ceiling)=2(l*b)

As per Surface area of a cuboid we have 2(l+b)*h
Area of four walls=2(l+b)*h

Jordan said:   1 decade ago
Here given that

Area of four walls = (area of the base )+(area of ceiling)

Area of base is (l*b)
Area of ceiling is (l*b)
so (area of the base )+(area of ceiling)=2(l*b)

As per Surface area of a cuboid we have 2(l+b)*h
Area of four walls=2(l+b)*h

Sreelakshmi said:   1 decade ago
Please explain this concept with proper steps.

Geethu said:   1 decade ago
2(15*12)=2(lh+bh)
=2h(l+b)
15*12 = h(15+12)
h=(15*12)/(15+12)=180/27

Summi said:   1 decade ago
Hey can any one explain how you got 180/27cm ?

Yogarajan said:   1 decade ago
Hello, can any one clearly explain the basics of the concept please ?

Reshma said:   1 decade ago
Hello all,

I could not understand the first step of the explanation.

According to this site surface area of cuboid is 2 (lb + bh + lh) sq. units.


Post your comments here:

Your comments will be displayed after verification.