a room is 15 m long and 10 m broad and area of its 4 walls is 750 sq. m . Find the height of the room.
Answers
Given,
A room is 15 meters long a d 10 meters broad.
Area of its 4 walls is 750 square meters.
To find out,
Find the height of the room?
Explanation:
As it is given the dimensions of the room are length, breadth and height.So the room is in cuboidal shape.
So, The length of cuboid = 15 meters
The breadth of the cuboid = 10 meters
The height of cuboid = h meters
The area of 4 walls = 750 meters,that means it is the lateral surface area.
Solution:
Lateral surface area of cuboid = 2(length +breadth) × height
750 = 2(15+10)×h
750 = 2(25)×h
750 = 50 × h
h = 750/50
h = 15 meters
Therefore the height of cuboid is 15 meters.
Additional information:
Formulae of cuboid:
1.Lateral surface area of cuboid = 2h(l +b) square units.
2.Total surface area of cuboid = 2(lb+bh+hl) square units.
3. Volume of cuboid = lbh cubic units
Where, l = length of cuboid
b = breadth of cuboid
h = height of cuboid