To determine the necessary calculations for each scenario, let's break down the requirements:
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Volume | Surface Area
- The amount a cereal box can hold:
- Calculation: Volume
- Formula: Volume = length × width × height (for a rectangular box)
- The amount a cereal box can hold:
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The amount of paint needed to paint the sides of a house:
- Calculation: Surface Area
- Formula: Surface Area = Sum of the areas of all the walls (for a rectangular house, it would be 2(length × height) + 2(width × height))
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The amount of wrapping paper needed to wrap a gift:
- Calculation: Surface Area
- Formula: Surface Area = 2(length × width + length × height + width × height) (for a rectangular box shape)
-
The amount of water a bottle can hold:
- Calculation: Volume
- Formula: Volume = (depending on the shape of the bottle); for a cylindrical bottle, Volume = πr²h (where r is the radius and h is the height)
In summary:
- Cereal box: Volume
- Paint for house: Surface Area
- Wrapping paper: Surface Area
- Water bottle: Volume