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Amount of area occupied by a prism
- The amount of area occupied by a prism is referred to as the surface area of a prism. The surface area of the prism depends on the base area of the prism and the lateral surface area of the prism. The unit of the surface area of the prism is expressed in m 2, cm 2, in 2, or ft 2.
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What is surface area of a prism?
How do you calculate the surface area of a triangular prism?
How do you find the lateral surface area of a prism?
How do you find the base area of a prism?
The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.
Aug 3, 2023 · The surface area, also known as the total surface area (TSA) of a prism, is the total space occupied by its flat faces. The surface area is measured in square units such as m 2, cm 2, mm 2, or in 2.
The surface area (S) of a prism is the sum of the areas of the bases and the lateral faces of the prism. It is measured in square units like square inches, square meters and square feet. In the case of a rectangular prism there are two bases and four lateral surfaces.
What is the surface area of a prism? The surface area of a prism is the total area of all of the faces of the prism. Prisms are 3D shapes made up of flat faces, including polygonal bases and rectangle faces. One type of prism is a rectangular prism.
- Regular Prisms
- Oblique Prisms
- Things to Try
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If the prism is regular, the bases are regular polygons. and so the perimeter is 'ns' where s is the side length and n is the number of sides. In this case the surface area formula simplifies toarea=2b+nshwhere: b= area of a base n= number of sides of a base s= length of sides of a base h= height of the prism
There is no easy way to calculate the surface area of an oblique prism in general. The best way is to work from the fact that it is composed of two bases whose areas can be calculated as above. But to find the areas of the faces, you would need to consider them separately and find the area of each based on what you are given.
In the figure above, click "hide details". (To make it a little more challenging, hide the base area also.)Drag the orange dots to set the shape of a new prism.Calculate the surface area of the prism.Click "show details" to check your answer.Example: What is the surface area of a prism where the base area is 25 m 2, the base perimeter is 24 m, and the length is 12 m: Surface Area = 2 × Base Area + Base Perimeter × Length. = 2 × 25 m2 + 24 m × 12 m. = 50 m2 + 288 m2.
The back and the front are both 1.5 by 5 rectangles. Area of a rectangle = length ⋅ width = 1.5 ⋅ 5 = 7.5. The total area of the back and the front is 2 ⋅ 7.5 = 15 . Let's add the areas to find the surface area. Surface area = 12 + 40 + 15 = 67. The surface area of the rectangular prism is 67 units 2 .
