Fitch & Leeds cans are wrapped in 6 x 200 ml packs. Each pack has the dimensions of 105 mm(W) x 155 mm(L) x 110 mm(H). Calculate the maximum number of packs that can fit into a light delivery vehicle (LDV) if the length of packs of cans are packed against the length of the LDV. top part of the truck 3,02 m the side of the truck 1,88 m top side of the truck 1,08 m​

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The number of packs that can fit into the light delivery truck is 3425 packs

How to find the maximum number of packs that can fit into a light delivery vehicle (LDV)

Since Fitch & Leeds cans are wrapped in 6 x 200 ml packs.

Each pack has the dimensions of 105 mm(W) x 155 mm(L) x 110 mm(H), we need to find the volume of each pack. Since each pack is a cuboid, its volume is V = lbh where

  • l = length = 155 mm
  • w = width = 105 mm
  • h = height = 110 mm

So, the volume of each pack V = lwh

= 155 mm × 105 mm × 110 mm

= 1790250 mm³

Since the length of packs of cans are packed against the length of the LDV. top part of the truck 3,02 m the side of the truck 1,88 m top side of the truck 1,08 m​, the truck is also a cuboid. It's volume is V' = LWH

where

  • l = length =  3.02 m = 3020 mm
  • w = width = 1.88 m = 1880 mm
  • h = height = 1.08 m = 1080 mm

So, the volume of the truck is V' = LWH

= 3020 mm × 1880 mm × 1080 mm

= 6131808000 mm³

So, the number of packs that can fit into the light delivery truck is n = V'/V = 6131808000 mm³/1790250 mm³

= 3425.11

≅ 3425 packs

So, the number of packs that can fit into the light delivery truck is 3425 packs

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