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30 January, 08:47

A candy company is designing the packaging for its new candy bar. The bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long. How many of these cartons can they pack into the shipping crate which is 5 ft long, 12 ft wide, and 4 ft high?

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  1. 30 January, 08:55
    0
    number of cartons that can be packed in the shipping crate = 240 cartons

    Step-by-step explanation:

    The cartons are cube since the face all have the same dimension. The length = 1 ft, width = 1 ft and height = 1 ft.

    The shipping crate is a rectangular prism or cuboid. The dimension is given as follows.

    length = 5 ft

    width = 12 ft

    height = 4 ft

    The number of the cartons that can be packed in the shipping crate can be calculated as follows.

    volume of the cubed carton = L³

    where

    L = length

    volume of the cubed carton = 1³ = 1 ft³

    Volume of the shipping crate = LWH

    where

    L = length

    W = width

    H = height

    Volume of the shipping crate = 5 * 12 * 4

    Volume of the shipping crate = 240 ft³

    number of cartons that can be packed in the shipping crate = 240/1 = 240 cartons
  2. 30 January, 09:17
    0
    240 cartons

    Step-by-step explanation:

    If the bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long, the volume of the carton will be expressed as shown;

    Volume of carton = Length * Breadth * Height

    Volume of carton = 1ft*1ft*1ft

    = 1ft³

    Given the dimension of shipping crate to be 5 ft long, 12 ft wide, and 4 ft high, the volume of the tank will be 5*12*4 = 240ft³

    Number of cartons they pack into the shipping crate = Volume of the shipping crate/volume of one carton

    Number of cartons they pack into the shipping crate = 240ft³/1ft³

    = 240 cartons
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