The length of room is double it's breadth.its height is 3m . Area of four walls excluding a door of dimensions 4m*2m is 100m^2 . Find its volume
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let breadth be x then by ATQ length be 2x
area of four walls excluding door
= LSA of cuboid - area of door
100 = 2( l+b) × h - 4 × 2
100 = 2(2x + x) × 3 - 8
100 = 18x -8
18x = 92
x =5.1
thus length = 5.1
breadth = 10.2
height = 3
volume of room = lbh
= 5.1 × 10.2 × 3
= 156.06m³
hope this will help you
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