To determine which calculations relate to volume and which to surface area, we can categorize each scenario as follows:
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The amount of cereal a cereal box can hold: This is a calculation of volume. You would typically use the formula for the volume of a rectangular prism (length × width × height) to find the capacity of the cereal box.
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The amount of paint needed to paint the sides of a house: This calculation relates to surface area. You would calculate the total surface area of the walls (and possibly the roof, depending on the context) of the house to determine how much paint is needed to cover that area.
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The amount of wrapping paper needed to wrap a gift: This, too, is a calculation of surface area. You would find the surface area of the gift (typically a rectangular prism or a different geometric shape) to determine how much wrapping paper is required.
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The amount of water a bottle can hold: This is also a calculation of volume. Depending on the shape of the bottle (cylinder, sphere, etc.), you would use the appropriate volume formula to find out how much water it can contain.
In summary:
- Volume: Cereal box and water bottle.
- Surface Area: Paint needed for the house and wrapping paper for the gift.