Find the volume of a cuboid 90 metres by 50 metres by 75 cm.
Answers
Volume of a cuboid = (length × breadth × height) cubic units.
= (l × b × h) cubic units.
(Since area = ℓ × b)
Volume of a cuboid = area of one surface × height cubic units
Let us look at the given cuboid.
The length of the cuboid = 5 cm
The breadth of the cuboid = 3 cm
The height of cuboid (thickness) = 2 cm
The number of 1 cm cubes in the given cuboid = 30 cubes = 5 × 3 × 2
We find that volume of the given cuboid with length 5 cm, breadth 3 cm and height 2 cm is 30 cu cm.
Therefore, volume of a cuboid = length × breadth × height
Solved examples on volume of a cuboid:
1. Find the volume of a cuboid of dimensions 14 cm × 12 cm × 8 cm.
Solution:
Volume of cuboid = length × breadth × height.
Here, length = 14 cm, breadth = 12 cm and height = 8 cm.
Volume of cuboid = 14 × 12 × 8 cubic cm.
= 1344 cubic cm.
Therefore, volume of cuboid = 1344 cubic cm.
2. Michael made a shoe box with length 8 cm, breadth 6 cm and height 6 cm. Find the volume of the box.
Solution:
Volume of the shoe box = Length × breadth × height.
= 8 × 6 × 6
= 288 cu cm.
3. A fish tank is 40 cm long, 15 cm broad and 10 cm high. What is its volume in cu cm?
Solution:
The length of the fish tank = 40 cm
The breadth of the fish tank = 15 cm
The height of the fish tank = 10 cm
Therefore, the volume of the fish tank = length × breadth × height.
= 40 × 15 × 10 cu. cm
= 6000 cu cm.
Step-by-step explanation:
75 cm = 0.75m
Volume = 0.75 * 50 * 75 = 2812.5 m cube
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