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# Calculate The Surface Area of A Rectangular Prism/Cuboid

Last updated: Saturday, April 29, 2023
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The surface area of a rectangular prism, also known as a cuboid, is a fundamental concept in geometry that pertains to the total area covering the external faces of the three-dimensional shape. A rectangular prism consists of six rectangular faces, with opposite faces being congruent. This geometric figure is ubiquitous in everyday life and has a wide range of applications across various fields, such as engineering, architecture, design, and even art, making the understanding of its surface area vital for practical purposes.

Rectangular prisms are frequently encountered in real-life scenarios, where their surface area plays an essential role. In construction and architecture, the surface area is crucial for determining the material requirements, structural stability, and insulation properties of buildings. In packaging design, calculating the surface area of a rectangular prism helps optimize material usage, reduce waste, and minimize costs. Artists and designers often utilize rectangular prisms in their work, making the knowledge of surface area indispensable for planning, conceptualizing, and executing their creations.

While the origins of the rectangular prism as a geometric shape are not well documented, the concept can be traced back to ancient cultures that laid the foundation for modern geometry. Throughout history, the rectangular prism has been an essential building block in constructing monuments, temples, and other structures, demonstrating its practical significance across various civilizations. Today, the surface area of a rectangular prism remains a central principle in geometry and continues to be an indispensable element in numerous real-world applications, highlighting the enduring relevance and versatility of this simple yet crucial geometric figure.

The formula for determining the surface area of a rectangular prism/cuboid is defined as:
$$SA$$ $$=$$ $$2$$ $$\cdot$$ $$L$$ $$\cdot$$ $$W$$ $$+$$ $$2$$ $$\cdot$$ $$L$$ $$\cdot$$ $$H$$ $$+$$ $$2$$ $$\cdot$$ $$W$$ $$\cdot$$ $$H$$
$$SA$$: the surface area of the prism
$$L$$: the length of the longer side
$$W$$: the length of the shorter side
$$D$$: the length of the depth
The SI unit of surface area is: $$square \text{ } meter\text{ }(m^2)$$

## Find $$SA$$

Use this calculator to determine the surface area of a rectangular prism/cuboid when the length of all sides are given.
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the length of the longer side
$$L$$
$$meter$$
the length of the shorter side
$$W$$
$$meter$$
the length of the depth
$$D$$
$$meter$$
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