The volume of the room is 120m^3 and the area of its floor is 30m^2. Find the height of the room
Answers
Answer:
›»› The height of the room is 4 m.
Step-by-step explanation :
Given :
The volume of a room = 120 m³.
The area of its floor = 30 m².
To Find :
The height of the room = ?
Solution :
Since room is always is in the shape of cuboid, and floor is always is in the shape of rectangle.
As we know that
→ Volume of cuboid = length * breadth * height.
→ Area of rectangle = length * breadth.
Let us assume that, the height of a room is x m.
According to the given question,
→ Volume of room = Area of floor * height
→ 120 = 30 * x
→ 120 = 30x
→ x = 120/30
→ x = 12/3
→ x = 4
Hence, the height of the room is 4 m.
Verification :
→ Volume of room = Area of floor * height
→ 120 = 30 * 4
→ 120 = 120
Clearly, LHS = RHS.
Here both the conditions satisfy, so our answer is correct.
Hence Verified !
Step-by-step explanation: