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The volume of a cuboid is 100cm3 and the area of its base is 20cm2. What is the height of cuboid?
- a)5cm
- b)5cm2
- c)5cm3
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The volume of a cuboid is 100cm3 and the area of its base is 20cm2. Wh...
Base area = length x breadth = 20 cm2
Now,
Volume of cuboid = length x breadth x height
Volume = 20 x height
100 = 20 x height
Height = 100 / 20 = 5 cm.
Now,
Volume of cuboid = length x breadth x height
Volume = 20 x height
100 = 20 x height
Height = 100 / 20 = 5 cm.
Most Upvoted Answer
The volume of a cuboid is 100cm3 and the area of its base is 20cm2. Wh...
Given:
Volume of cuboid = 100 cm^3
Area of base = 20 cm^2
To find:
Height of cuboid
Solution:
We know that the volume of a cuboid is given by the formula:
Volume = Length × Width × Height
Given that the volume of the cuboid is 100 cm^3, we can write:
100 = Length × Width × Height
We also know that the area of the base of the cuboid is given by the formula:
Area of Base = Length × Width
Given that the area of the base is 20 cm^2, we can write:
20 = Length × Width
Finding the height:
We can rewrite the equation for volume as:
Height = Volume / (Length × Width)
Substituting the given values, we have:
Height = 100 / (Length × Width)
Since the area of the base is given as 20 cm^2, we can substitute the value of Length × Width with 20 in the equation:
Height = 100 / 20
Simplifying the equation, we get:
Height = 5 cm
Therefore, the height of the cuboid is 5 cm.
Answer:
The height of the cuboid is 5 cm.
Volume of cuboid = 100 cm^3
Area of base = 20 cm^2
To find:
Height of cuboid
Solution:
We know that the volume of a cuboid is given by the formula:
Volume = Length × Width × Height
Given that the volume of the cuboid is 100 cm^3, we can write:
100 = Length × Width × Height
We also know that the area of the base of the cuboid is given by the formula:
Area of Base = Length × Width
Given that the area of the base is 20 cm^2, we can write:
20 = Length × Width
Finding the height:
We can rewrite the equation for volume as:
Height = Volume / (Length × Width)
Substituting the given values, we have:
Height = 100 / (Length × Width)
Since the area of the base is given as 20 cm^2, we can substitute the value of Length × Width with 20 in the equation:
Height = 100 / 20
Simplifying the equation, we get:
Height = 5 cm
Therefore, the height of the cuboid is 5 cm.
Answer:
The height of the cuboid is 5 cm.
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