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Tins of size B were packed in Box A as shown below. a) How many tins were packed in the first layer? b) Calculate the total number of tins that were packed in the box.

Mathematics

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Answers

2 parts
a

40 tins\text{40 tins}

b

240 tins\text{240 tins}

Step-by-step solution

5 steps

Part a· 3 steps

  1. Determine how many tins fit along the length of Box A.

    Number of tins along length=Length of Box ADiameter of Tin B=56 cm7 cm=8\text{Number of tins along length} = \frac{\text{Length of Box A}}{\text{Diameter of Tin B}} = \frac{56 \text{ cm}}{7 \text{ cm}} = 8

  2. Determine how many tins fit along the width of Box A.

    Number of tins along width=Width of Box ADiameter of Tin B=35 cm7 cm=5\text{Number of tins along width} = \frac{\text{Width of Box A}}{\text{Diameter of Tin B}} = \frac{35 \text{ cm}}{7 \text{ cm}} = 5

  3. Calculate the total number of tins in the first layer.

    Tins in first layer=Tins along length×Tins along width=8×5=40\text{Tins in first layer} = \text{Tins along length} \times \text{Tins along width} = 8 \times 5 = 40

    The number of tins packed in the first layer is 40 tins\boxed{\text{40 tins}}.

Part b

240 tins\text{240 tins}

  1. Determine how many layers of tins can be packed in Box A.

    Number of layers=Height of Box AHeight of Tin B=60 cm10 cm=6\text{Number of layers} = \frac{\text{Height of Box A}}{\text{Height of Tin B}} = \frac{60 \text{ cm}}{10 \text{ cm}} = 6

  2. Calculate the total number of tins packed in the box.

    Total number of tins=Tins in first layer×Number of layers=40×6=240\text{Total number of tins} = \text{Tins in first layer} \times \text{Number of layers} = 40 \times 6 = 240

    The total number of tins packed in the box is 240 tins\boxed{\text{240 tins}}.

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