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6.8 Volume of Cuboid

The measure of the occupied space is called the Volume of the object.

If an object is solid, then the space occupied by such an object is measured and is called the Volume of the object.

On the other hand if the object is hollow then the interior is empty and can be filled with air or some liquid then will take the shape of its container. In this case, the volume of the substance that can fill the interior is called the Capacity of the container.

In short the volume of the object is the measure of the space it occupies and the capacity of an object is the volume of the substance its interior can accommodate. Hence the unit of measurement of either of the two is cubic unit.

In the above figure the area of each rectangle is A and height up to which the rectangles are stacked is h and the volume of the cuboid is V.

V = A x h
Volume of a Cuboid = length x width x height = base area x height
Volume of Cuboid = l x w x h = A x h

Q 1: A container has a rectangular base of area 64 cm2. What is the height of the box if its volume is 384 cm3?
8 cm
6 cm
13 cm

Q 2: Calculate the volume of the cuboid whose length, width and height are 40cm, 20cm and 50cm.
400 cm3
40000 cm3
35000 cm3

Q 3: A rectangular tank has dimensions of 35 cm x 30 cm x 20 cm contains water to a height of 15 cm. Find the volume of water in the tank.
15500 cm3
15750 cm3
12000 cm3

Q 4: A cuboid has sides of length 5 m, 3 m and 1 m. What is the volume of the cuboid in cm3?

Q 5: Calculate the volume of a cuboid with length 0.5m, width of 0.1m and height of 0.5m.
0.25 m3
0.025 m3
2.5 m3

Q 6: A cuboid has volume is 480 cm3 and the width of 8 cm and height of 5cm. What is its length.
15 cm
25 cm
12 cm

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