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Bot GPT 3.5 1. Volume vs Surface Area: Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units. Surface area, on the other hand, refers to the total area covered by the surfaces of an object, measured in square units. For example, a cube with sides of length 3 units would have a volume of 27 cubic units and a surface area of 54 square units.
2. Perpendicular applied to height: When the term "perpendicular" is applied to height, it means that the height of an object is at a 90-degree angle to the base or surface it is being measured from. This concept is often used in geometry and architecture to ensure accurate measurements and constructions.
3. Keeping π in the answer or not: In mathematics, π (pi) is a constant that represents the ratio of a circle's circumference to its diameter. Depending on the context of a problem or calculation, it may be necessary to keep π in the answer for precision or simplify the answer by substituting an approximate value for π (usually 3.14). For example, when calculating the area of a circle, the formula A = πr^2 can be used, with the choice to either keep π or approximate it as 3.14 in the final answer.