Before you study how to calculate volume of cuboid, you are advised to read:
What is Cuboid ?
How to find Area of Rectangle ?
First let's understand What does volume means
The measure of the amount of space occupied by an object is known as "Volume of the Solid"
Volume of Cuboid = length X breadth X height
How formula for volume of cuboid is obtained
Observe the following diagram of cuboid:
Volume of cuboid is equals to Area of base multiplied by height (as shown below):
Volume of cuboid = Area of base X Height ... (Statement 1)
Now you can see that base is in rectangular shape, so apply formula for area of rectangle and we get:
Area of Base = Length X breath ... (Statement 2)
As mentioned above in statement 1:
Volume of cuboid = Area of base X Height
Put values from statement 2 and we get:
Volume of cuboid = Length X Breadth X Height
Therefore, in this way the volume of cuboid is obtained
Note: Volume of cuboid is always in cubic units i.e. mm3, cm3, m3 etc
Let try some following example to find the volume of given cuboid:
Example 1 : The length, breadth and height of a cuboid shape box are 2cm, 3cm, and 4cm. Find the volume of cuboid ?
Solution :
Length of Cuboid = 2 cm
Breadth of Cuboid = 3 cm
Height of Cuboid = 4 cm
Volume of Cuboid = Length X Breadth X Height
Volume of Cuboid = 2 X 3 X 4 = 24 cm3
Example 2 : The length, breadth and height of a cuboid shape box are 10cm, 5cm, and 5cm. Find the volume of cuboid ?
Solution :
Length of Cuboid = 10 cm
Breadth of Cuboid = 5 cm
Height of Cuboid = 5 cm
Volume of Cuboid = Length X Breadth X Height
Volume of Cuboid = 10 X 5 X 5 = 250 cm3
Example 3 : The length, breadth and height of a cuboid shape box are 3cm, 7cm, and 10cm. Find the volume of cuboid ?
Solution :
Length of Cuboid = 3 cm
Breadth of Cuboid = 7 cm
Height of Cuboid = 10 cm
Volume of Cuboid = Length X Breadth X Height
Volume of Cuboid = 3 X 7 X 10 = 210 cm3
Example 4 : The length, breadth and height of a cuboid shape box are 2cm, 4cm, and 5cm. Find the volume of cuboid ?
Solution :
Length of Cuboid = 2 cm
Breadth of Cuboid = 4 cm
Height of Cuboid = 5 cm
Volume of Cuboid = Length X Breadth X Height
Volume of Cuboid = 2 X 4 X 5 = 40 cm3
Study More Solved Questions / Examples
The length, breadth and height of cuboid shape wooden boxes are mentioned below. Find the volume of wooden box ?
A) 40 cm, 40 cm and 98 cm
B) 82 cm, 82 cm and 45 cm
C) 82 cm, 78 cm and 39 cm
D) 31 cm, 93 cm and 77 cm
E) 83 cm, 85 cm and 81 cm |
The length, breadth and height of cuboid shape hall are mentioned below. Find the volume of hall ?
A) 24 meter, 8 meter and 18 meter
B) 24 meter, 16 meter and 25 meter
C) 24 meter, 23 meter and 18 meter
D) 17 meter, 26 meter and 30 meter
E) 13 meter, 16 meter and 22 meter
F) 12 meter, 17 meter and 21 meter |
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