A cubical block of mass 1000kg is kept on a levelled horizontal surface.If it exerts a pressure of 100pa on the surface,then find the volume of the block.
Answers
Answer:
mass of cubical mass is 1000kg .
pressure is 100 pa .
g= 10m/S2
pressure = force / area .
force= mass × g
1000=1000×10/A
A= 10meter square.
side of cuboidal block = 10 m
volume of block =(10)3= 1000meter 3.
Given:
Mass of block = 1000 kg
Pressure exerted = 100 Pa
To find:
Volume of the block
Solution:
Step 1
We have been given that the block of mass 1000 kg exerts a pressure 100 Pa on the horizontal.
Therefore,
The force exerted by the block on the ground is nothing but the weight of block given by
F = mg = 1000 × 10
F = 10⁴ N
Step 2
Now,
We know, pressure is given by
Where, A is the area of the surface in contact with the horizontal.
Hence, Area =
Substituting the known values in the equation, we get
Therefore,
A = 100 m²
(side)² = 100 ; or
side = 10 m
Step 3
Now,
We know, volume of cube = (side)³
Substituting the given value, we get
V = (10)³
V = 1000 m³
Final answer:
Hence, the volume of the cubical box will be 1000 cubic meter.