The size of a matchbox is 4cm into 2.5cm into 1.5cm. What is the volume of a packet containing 144 matchbox? How many packets can be placed in a carton of size 1.5cm into 84cm into 60cm.
Answers
Answer:
Volume of a packet containing 144 matchboxes = 2160 cc
No. of packets in carton = 504 packets
Step-by-step explanation:
Dimensions of matchbox: 4 cm, 2.5 cm, 1.5 cm
Volume of one matchbox: 4 * 2.5 * 1.5 = 15 cc
Volume of a packet containing 144 matchboxes = 15 * 144 = 2160 cc
Carton's dimensions: 1.5 cm, 84 cm, 60 cm
Volume of carton = 1.5 * 84 * 60 = 7560 cc
No. of packets in carton = 7560 / 15 = 504 packets
Step-by-step explanation:
Given that
The matchbox length is 4 cm
The matchbox breadth is 2.5 cm
The matchbox height is 1.5 cm
We know that volume of cuboid = length × breadth × height
Volume occupied by single matchbox = 4 × 2.5 × 1.5 = 15
Volume of a packet containing 144 matchbox = 15 × 144 = 2160
Volume of carton is 1.5cm × 84cm × 60 cm = 756000
Therefore, total number of packets can be accommodated in a carton is
= 350 packets
The total number of packets can be accommodated in a carton is 350 packets
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