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A cuboid vessel is 20 cm long and 12 cm wide. How high must it be to bold 3 liters of water?
- a)12.5 cm
- b)12 cm
- c)14 cm
- d)4.5 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A cuboid vessel is 20 cm long and 12 cm wide. How high must it be to b...
Length = 20cm
width = 12cm
volume = 3 litre=3000cm^3
height = 3000\20x12
= 12.5cm
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A cuboid vessel is 20 cm long and 12 cm wide. How high must it be to b...
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A cuboid vessel is 20 cm long and 12 cm wide. How high must it be to b...
To find the height of the cuboid vessel, we need to calculate the volume of water it can hold.
The formula for the volume of a cuboid is given by:
Volume = Length × Width × Height
Given:
Length = 20 cm
Width = 12 cm
We need to find the height (h) that can hold 3 liters of water. We know that 1 liter is equal to 1000 cubic centimeters (cc). So, 3 liters would be equal to 3000 cc.
Let's substitute the given values into the formula and solve for h:
Volume = Length × Width × Height
3000 = 20 × 12 × h
Simplifying the equation further:
3000 = 240h
Dividing both sides by 240:
h = 3000/240
h = 12.5 cm
Therefore, the height of the cuboid vessel must be 12.5 cm to hold 3 liters of water.
Therefore, the correct answer is option A) 12.5 cm.
The formula for the volume of a cuboid is given by:
Volume = Length × Width × Height
Given:
Length = 20 cm
Width = 12 cm
We need to find the height (h) that can hold 3 liters of water. We know that 1 liter is equal to 1000 cubic centimeters (cc). So, 3 liters would be equal to 3000 cc.
Let's substitute the given values into the formula and solve for h:
Volume = Length × Width × Height
3000 = 20 × 12 × h
Simplifying the equation further:
3000 = 240h
Dividing both sides by 240:
h = 3000/240
h = 12.5 cm
Therefore, the height of the cuboid vessel must be 12.5 cm to hold 3 liters of water.
Therefore, the correct answer is option A) 12.5 cm.
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