Know how to calculate area from length, width and height
In daily life and work, calculating area is a common need. Whether you're renovating a home, buying furniture, or taking engineering measurements, you need to accurately calculate area. This article will introduce in detail how to calculate the area based on length, width, and height, and provide structured data to help understanding.
1. What is area?
Area refers to the size of an object's surface or plane figure, usually expressed in square units (such as square meters, square centimeters, etc.). When calculating area, you need to choose an appropriate formula based on the shape of the object.
2. Area calculation formulas for common shapes
| shape | formula | Example |
|---|---|---|
| rectangle | Area = length × width | 5 meters long, 3 meters wide, area = 15 square meters |
| square | Area = side length × side length | Side length is 4 meters, area = 16 square meters |
| triangle | Area = (Base × Height) ÷ 2 | Base 6 meters, height 4 meters, area = 12 square meters |
| round | Area = π × radius² | Radius 3 meters, area ≈ 28.27 square meters |
3. How to calculate the area based on length, width and height?
1.Calculation of surface area of cuboid: A cuboid has 6 faces, and the area of each face can be calculated from the length, width, and height. The specific formula is as follows:
| noodle | Area calculation |
|---|---|
| front and back | length × height |
| left and right | Width × Height |
| above and below | length × width |
Total surface area = 2 × (length × width + length × height + width × height)
2.Calculation of side area of cylinder: The side area of a cylinder can be calculated from the height and base perimeter. The formula is: side area = height × base perimeter = height × 2π × radius.
4. Practical application cases
1.Decorate the house: When painting a wall, you need to calculate the total area of the wall to determine how much paint is needed. For example, if a room is 4 meters long, 3 meters wide and 2.5 meters high, the total wall area is: 2 × (4 × 2.5 + 3 × 2.5) = 35 square meters.
2.buy flooring: When laying the floor, you need to calculate the area of the ground. For example, a rectangular room is 5 meters long and 4 meters wide, with a floor area of 5 × 4 = 20 square meters.
5. Things to note
1. Make sure all lengths are in the same unit (e.g. all in meters or centimeters).
2. For complex shapes, they can be decomposed into multiple simple shapes and calculated separately.
3. There may be errors in actual measurements. It is recommended to take multiple measurements and average them.
6. Summary
Calculating area is a basic skill in life. Mastering the area calculation formulas of different shapes can help us complete various tasks more efficiently. This article introduces the area calculation methods of common shapes such as rectangles, squares, triangles, etc., and provides the calculation formula for the surface area of a cuboid. Hopefully this content will help you better understand and apply area calculations.
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