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

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

ScanSolve AI Answer

Answer

54 cm2\text{54 cm}^2

Here are the solutions to the problems:

3.3.1 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.

Step 1: Identify the side length of the cube. The side length of the cube is s=3 cms = 3 \text{ cm}.

Step 2: Calculate the area of one square face. The area of one face is given by the formula Aface=s2A_{face} = s^2. Aface=(3cm)2=9cm2A_{face} = (3 cm)^2 = 9 cm^2

Step 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=6×9cm2=54cm2A_{total} = 6 \times 9 cm^2 = 54 cm^2 The total area of the small square pieces needed to cover the entire outside of the box is 54cm2\boxed{54 cm^2}.

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

| Flavors | Tally | Frequency | | :---------- | :------------- | :-------- | | 1. Raspberry | |||| |||| |||| | 14 | | 2. Peach | |||| |||| || | 12 | | 3. Strawberry | |||| | 4 |

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Quick Answer

3.3.1 To calculate the total area needed to cover the outside of the cube box, we need to find its total surface area.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Here are the solutions to the problems: 3.3.1 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. Step 1: Identify the side length of the cube. The side length of the cube is s = 3 cm. Step 2: Calculate the area of one square face. The area of one face is given by the formula A_face = s^2. A_face = (3 cm)^2 = 9 cm^2 Step 3: Calculate the total surface area of the cube. Since there are 6 identical faces, the total surface area is A_total = 6 × A_face. A_total = 6 × 9 cm^2 = 54 cm^2 The total area of the small square pieces needed to cover the entire outside of the box is 54 cm^2. 4.1 Here is the table with the "Tally" column filled in based on the given frequencies: | Flavors | Tally | Frequency | | :---------- | :------------- | :-------- | | 1. Raspberry | |||| |||| |||| | 14 | | 2. Peach | |||| |||| || | 12 | | 3. Strawberry | |||| | 4 | What's next? Send 'em 📸