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Calculate the total area of the small square pieces needed to cover the entire outside of the box.

Mathematics

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Answer

3.3

54 cm2\text{54 cm}^2

Step-by-step solution

3 steps

Here are the solutions to the problems:

Part 3.3· 3 steps

1

To calculate the total area needed to cover the outside of the cube box, we need to find its total surface area. A cube has 6 identical square faces.

  1. Identify the side length of the cube.

    The side length of the cube is s=3 cms = 3 \text{ cm}.

  2. Calculate the area of one square face.

    The area of one face is given by the formula Aface=s2A_{face} = s^2.

    Aface=(3 cm)2=9 cm2A_{face} = (3 \text{ cm})^2 = 9 \text{ cm}^2

  3. Calculate the total surface area of the cube.

    Since there are 6 identical faces, the total surface area is Atotal=6×AfaceA_{total} = 6 \times A_{face}.

    Atotal=6×9 cm2=54 cm2A_{total} = 6 \times 9 \text{ cm}^2 = 54 \text{ cm}^2

    The total area of the small square pieces needed to cover the entire outside of the box is 54 cm2\boxed{\text{54 cm}^2}.

Part 4.1

Here is the table with the "Tally" column filled in based on the given frequencies:

FlavorsTallyFrequency
1. Raspberry14
2. Peach12
3. Strawberry4
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