the size of a matchbox is 4 cm*2.5cm*1.5cm what is the volume of a packet containing 144match boxes. how many such packets can be placed in a
of size 1.5m*84cm*60cm
Answers
Answer:
504 packets
Step-by-step explanation:
Volume of match box =4×2.5×1.5=15cm cube
than
volume of 1 matchbox =15
so that volume of 144 match box=144×15=2160cm cube
volume of cartoon =1.5×84×60=7560
than
15 cm cube taken by 1 packet
so that 1 cm cube taken by 1÷15 packet
so that 7560 cm cube taken by 1÷15×7560=504 packets
We know that volume of cuboid = length × breadth × height
Volume occupied by single matchbox =
4×2.5×1.5^3
Volume of a packet containing 144 matchbox =15×144 CM ^3=2160^3
Volume of carton is 150 cm×84 cm×60 cm=756000 cm^3
Therefore total number of packets that can be accommodated in a carton is =
volume of the cartone/volume of the box
=75600/2160 packets
=350 packets
so, the answer is 360 packets