Here we will solve worked-out problems on volume of a cuboid.
How to calculate volume of a cuboid?
1. Find the volume of a cuboid of length 20 cm, breadth 15 cm and height 10 cm.
Solution:
Length of the cuboid = 20 cm
Breadth of the cuboid = 15 cm
Height of the cuboid = 10 cm
Therefore, volume of the cuboid = length × breadth × height
= (20 × 15 × 10) cm³
= 3000 cm³
2. A wall has to be built with length 8 m, thickness 3 m and height 5 m. Find the volume of the wall in cubic cm.
Solution:
Length of the wall = 8 m or 800 cm
Thickness of the wall = 3 m or 300 cm
Height of the wall = 5 m or 500 cm
Therefore, volume of the wall = length × breadth × height
= (800 × 300 × 500) cm³
= 120000000 cm³
3. If the volume of a room is 792 m³ and the area of the floor is 132 m², find the height of the room.
Solution:
Volume of the room = 792 m³
Area of the floor (l × b) = 132 m²
Therefore, height of the room = (Volume of the room)/(area of the floor)
= 792 m³/132 m² = 6m
4. Length, breadth and height of a room are 6 m 5 m and 3 m respectively. Find the volume of the room.
Solution:
Length of the room = 6 m
Breadth of the room = 5 m
Height of the room = 3 m
Therefore, volume of the room = length × breadth × height
= 6 × 5 × 3 m³
= 90 m³
5. External dimensions of a wooden cuboid are 30 cm × 25 cm × 20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.
Solution:
External length of the cuboid = 30 cm
External breadth of the cuboid = 25 cm
External height of the cuboid = 25 cm
Therefore, External volume of the cuboid = (30 × 25 × 20) cm³
= 15000 cm³
Therefore, Internal volume of the cuboid = (26 × 21 × 16) cm³
= 8736 cm³
Therefore, Volume of wood = External Volume - Internal Volume
= 15000 cm³ - 8736 cm³
= 6264 cm³
These are the above step-by-step detailed explanation in calculating worked-out problems on volume of a cuboid.
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