A matchbox measures 4cm by 2.5 cm by 1.5 cm . What will be the volume of a packet containing 6 such matchbox? How many such packets can be placed in a cardboard box whose size is 60×30×24cm?
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Given that length of a matchbox = 4cm.
Given that breadth of the matchbox = 2.5cm.
Given that height of the matchbox = 1.5cm.
We know that volume = l * b * h
= 4 * 2.5 * 1.5
= 15cm^3.
So, the volume of the 1 matchbox = 15cm^3.
Given that volume of the packet containing 6 such matchbox = 6 * 15
= 90cm^3.
Given that length of the cardboard box = 60cm.
the height of the cardboard box = 30cm
the breadth of the cardboard box = 24cm.
Volume of the cardboard box = l * b * h
= 60 * 30 * 24
= 43200cm^3.
Therefore the number of such packets can be placed in a cardboard box:
= 43200/90
= 480 packets.
Hope this helps!
Given that breadth of the matchbox = 2.5cm.
Given that height of the matchbox = 1.5cm.
We know that volume = l * b * h
= 4 * 2.5 * 1.5
= 15cm^3.
So, the volume of the 1 matchbox = 15cm^3.
Given that volume of the packet containing 6 such matchbox = 6 * 15
= 90cm^3.
Given that length of the cardboard box = 60cm.
the height of the cardboard box = 30cm
the breadth of the cardboard box = 24cm.
Volume of the cardboard box = l * b * h
= 60 * 30 * 24
= 43200cm^3.
Therefore the number of such packets can be placed in a cardboard box:
= 43200/90
= 480 packets.
Hope this helps!
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