In a house, the length of the floor is 4m and the breadth is 3.5m. If the height of the house is 3m and the thickness of the wall is 15cm, then, what's the volume of four walls?
(Hint:- Answer is 7.02 cube meters)
Answers
Answer:
So if you have given the answer , you must want explanation !
Here you go ⤵️
Determine the dimensions to the centerline of the walls, 4.15 m x 3.65 m.
Calculate perimeter 2(4.15 m + 3.65 m) = 15.6 m
Multiply by thickness and height
15.6 m x 0.15 m x 3 m = 7.02 m³
This is equivalent to decomposing the walls into 4 trapezoidal base prisms, The method also works on curves (like roads) and avoids subtraction of nearly equal terms which can cause a loss of precision in thin-walled structures.
Question:-
In a house, the length of the floor is 4m and the breadth is 3.5m. If the height of the house is 3m and the thickness of the wall is 15cm, then, what's the volume of four walls?
Required Answer:-
Given:-
- Length of the floor in the house is 4m
- Breadth of the floor is 3.5m
- Height of the house is 3m
- Thickness of the wall is 15cm
To Find:-
- Volume of the four walls.
Solution:-
○ Kindly see the attachment.
We were given:-
Thickness of the wall is 15cm
= (15/100)m = 0.15m [ 100cm = 1m]
According to the picture:-
The walls along with the length of the house:-
Length of the wall = (4 + 2 × 0.15)m = 4.3m
Now,
- Length of the wall = 4.3m
- Height of the wall = 3m
- Thickness of the wall = 0.15m
Volume of a wall = length × height × thickness
Hence,
Volume of the 2 walls in length = (4.3 × 3 × 0.15 × 2 )cube meters
=> Volume of the two walls = 3.87 cube meters
Again,
The walls along with the breadth of the house:-
- Length of the wall= 3.5m
- Height of the wall = 3m
- Thickness of the wall = 0.15m
Therefore,
Volume of the two walls in breadth = 3.5 × 3 × 0.15 × 2 cube meters.
=> Volume of the two walls = 3.15 cube meters.
Now,
Total volume of the walls = (3.87 + 3.15) cube meters
=> Total volume of the walls = 7.02 cube meters
Hence, the volume of the four walls is 7.02 cube meters.
