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Step-by-step explanation:
Given :-
The base area of a cuboid = 180 cm²
The volume of the cuboid = 900 cm³
To find :-
Find the height of the cuboid ?
Solution :-
Let the height of the cuboid be h cm
Given that
The base area of the cuboid = 180 cm²
We know that
The base of the cuboid is a circle
So, The base area of a cuboid = The area of the circle = πr² sq.units
Where , r is the radius
=> πr² = 180 cm² ------------------(1)
And we know that
The volume of a cuboid = πr²h cubic units
According to the given problem
The volume of the cuboid = 900 cm³
=> πr²h = 900 cm³ --------------(2)
On dividing (2) by (1)
=> πr²h/πr² = 900/180
=> h = 5 cm
Therefore, height = 5 cm
Answer:-
The height of the cuboid for the given problem is 5 cm
Used formulae:-
- The base area of a cuboid = The area of the circle = πr² sq.units
- Where , r is the radius
- The volume of a cuboid = πr²h cubic units
- h = height
- π = 22/7
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