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how is area and surface area related

 

Definitions from the Web

How is Area and Surface Area Related?

Description:

In mathematics, area refers to the measure of a two-dimensional space enclosed by a shape or object, while surface area denotes the total area covered by the surfaces of a three-dimensional object. These concepts are related as surface area is a measure of the total area of the exposed surfaces of a solid object, whereas area typically refers to the amount of space within a plane figure.

Senses and Usages:

1. Mathematics:

In the field of mathematics, area represents the measure of a flat region or planar figure, usually expressed in square units such as square meters (mē) or square inches (inē). Surface area, on the other hand, is used to find the total area of all the surfaces of a three-dimensional object, expressed in square units.

Example Sentence:

To find the area of a rectangle, multiply its length by its width.

Example Sentence:

The surface area of a cube can be calculated using the formula: 6 * (side length)^2.

2. Civil Engineering:

In civil engineering, area is commonly used to measure the extent of a specific land or plot. Surface area is crucial in calculating the quantity of materials required to cover or coat a three-dimensional structure or object.

Example Sentence:

The area of the proposed building is 1000 square meters.

Example Sentence:

The surface area of the bridge needs to be repainted every five years.

3. Physics:

Area finds application in various physics concepts, whereas surface area is applicable in determining heat or energy exchange between an object and its surroundings.

Example Sentence:

The area under the velocity-time graph represents the displacement of an object.

Example Sentence:

Thermal insulation is essential to minimize heat loss through the surface area of a building.

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