With those measurements, you can use the formula:įor example, if a rectangular prism has dimensions of length = 3, width = 4, and height = 5, then its surface area would be calculated as:Ģ(3×4 + 4×5 + 3×5) = 2(12+20+15) = 2(47) = 94 To find the surface area of a rectangular prism, you need to know the measure of two adjacent sides (length and width) and the height of the rectangle.
#Surface area of a rectangular prism formula how to#
Surface Area = 72 square feet How to find the surface area of a rectangular prismĪ rectangular prism is a solid geometric figure with six faces that are rectangles. We can plug these values into our formula to calculate the surface area. Suppose we have a rectangular prism that has dimensions of length 9 feet, width 3 feet, and height 2 feet. Let’s look at an example to see how this formula works. The surface area of a rectangular prism can be found using the formula: In the diagram below, we can see that the length (L) and width (W) are measured in units and the height (h) is measured in inches.
To find the surface area of a rectangular prism, we need to know the measure of two sides and the height. The surface area of a rectangular prism is the sum of the areas of its six faces. Surface Area of Rectangular PrismĪ rectangular prism is a three-dimensional figure with six faces that are all rectangles. A rectangular prism with two dimensions will have two rectangles on each face, and so on. A rectangular prism with three dimensions will have four rectangles on each face. The number of rectangles on each face depends on how many dimensions the rectangular prism has. The surface area is the sum of the areas of all the faces. The surface area of a rectangular prism can be defined as the total area of all the faces of the prism. If all the edges of a rectangular prism are equal, then the surface area of the prism will be 6 times the area of the face.Surface Area of a Rectangular Prism Definitions and Examples.If all the vertices of a rectangular prism are the same as ‘l’, then the volume of the prism is given as ‘l3’.An oblique rectangular prism is stated as a prism in which faces are not perpendicular to one another.A rectangular prism with all sides the same is called a cube.The unit of measurement of the area of the rectangular prism is square units.The total surface area of a solid is the sum of the areas covered by all the faces or surfaces enclosing the object.Step 4: The units calculated are in square units. Step 3: Utilize the formula for the lateral surface area or the total surface area. Step 2: Once the dimensions are made the same, one can calculate the lateral surface area or the total surface area as per the condition given. Step 1: The given dimensions of the rectangular prism must be in same units if not then make same. The surface area of a rectangular prism can be found by using the following steps: How To Calculate the Surface Area of a Rectangular Prism Lateral surface area of a rectangular prism= 2(l+b) h The formula for the lateral surface area of a rectangular prism is, This does not include the area of the bases. The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism. Lateral Surface Area of a Rectangular Prism Total surface area of a rectangular prism = 2(lb+bh+hl) The formula for the surface area of a rectangular prism is, The total surface area of a rectangular prism can be found by calculating the total area of all its six faces. Total Surface Area of a Rectangular Prism Lateral surface area of a rectangular prism.Total surface area of a rectangular prism.
To find the surface area of a rectangular prism, we need to find the sum of the areas of all the faces of the prism.įurther, a rectangular prism is divided into two types: Surface Area Of A Rectangular Prism: Formula Hence, both the bases of the rectangular prism must be rectangles as well.
It consists of six faces and all are rectangular in shape. The total area or region covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism.
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