SOLUTION: How many matchboxes, each 80 mm by 75 mm by 18 mm, can be packed into a box 72 cm by 60 cm by 45 cm internally?

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Question 979332: How many matchboxes, each 80 mm by 75 mm by 18 mm, can be packed into a box 72 cm by 60 cm by 45 cm internally?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

find the volumes
first convert mm into cm
1cm=10mm%7D%0D%0A+so%2C+%0D%0A%7B%7B%7B80mm=8cm by
75mm=7.5cm
18mm=1.8cm
V%5B+matchbox%5D=8cm%2A7.5cm%2A1.8cm
V%5B+matchbox%5D=108cm%5E3
V%5Bbox%5D+=72cm+%2A+60cm+%2A45cm
V%5Bbox%5D+=194400cm%5E3
to find the number of matchboxes that fit in divide V%5Bbox%5D+ by V%5B+matchbox%5D
V%5Bbox%5D+%2FV%5B+matchbox%5D=194400cm%5E3%2F108cm%5E3
V%5Bbox%5D+%2FV%5B+matchbox%5D=194400cross%28cm%5E3%29%2F108cross%28cm%5E3%29
V%5Bbox%5D+%2FV%5B+matchbox%5D=1800
so, 1800 matchboxes can be packed into a box