A vessel in the shape of a cuboid is 30cm long ans 25cm wide.What should be it's height to hold 4.5 litres of water
Answers
Solution -
Volume of vessel = 4.5 litres
= (4.5/1000) m³
= 0.0045 m³
= (0.0045 × 100 × 100 × 100) cm³
= 4,500 cm³
____________
Length of Vessel = 30 cm
Breadth of Vessel = 25 cm ____________
Let's assume the height as x cm
According to Question,
Volume of Cuboidic Vessel = 4500 cm³
30 × 25 × x = 4,500
⇒ 750 × x = 4,500
⇒ x = 4,500/750
⇒ x = 6
∴The height of cuboidic Vessel = x cm = 6 cm
#Be Brainly
given the Length of the vessel is 30cm and breadth is 25cm.
volume of water in the vessel = 4.5 litres
we know that 1 litre is 1000cm³, therefore 4.5 litres = 4.5×1000
= 4500cm³
therefore l×b×h = 4500cm³
=> 30×25×h = 4500cm³
=> 750×h = 4500cm³
=> h = 4500/750
=> h = 6cm
verification:-
volume = l×b×h
= 30×25×6
= 750×6
= 4500cm³
hence verified
thus the the height of the vessel is 6cm