How many cartons with length 40cm breadth 30 cm and height 25cm can be packed in a container truck whose length breadth nd height are 6m 3m nd 3m respectively
Answers
1800 cartons with length 40 cm, breadth 30 cm, and height 25 cm can be packed in a container truck whose length breadth and height are 6m, 3m and 3m respectively.
• Given,
Length of one carton (l) = 40 cm
Breadth of the carton (b) = 30 cm
Height of the carton (h) = 25 cm
• A carton is a cuboid.
Volume of a cuboid = l × b × h
• Therefore,
Volume of one carton = 40 cm × 30 cm × 25 cm
• Also given,
Length of the truck (l') = 6 m = 600 cm
Breadth of the truck (b') = 3 m = 300 cm
Height of the truck (h') = 3 m = 300 cm
• A truck is also in the shape of a cuboid.
Therefore, volume of the container truck = l' × b' × h' = 600 cm × 300 cm × 300 cm
• Number of cartons that can be packed in the container truck =
Volume of the truck / Volume of one carton
• Number of cartons that can be packed = (600 × 300 × 300) cm³ / (40 × 30 × 25) cm³ = 1800 cartons