Math, asked by ivoxygem, 2 months ago

1 Find the total surface area of the prism.2 How many square feet of material does Donald Duck need to purchase to make his tent?

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Answered by samikshakoche2019
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Answer:

The total surface area of a prism is the sum of areas of its lateral faces and its two bases.

In this article, you will learn how to find the total surface area of a prism by using the surface area of a prism formula.

To recall, a prism is a 3-dimensional polyhedron with two parallel and congruent bases, which are connected by lateral faces. A prism is named according to the shape of the polygonal bases. In a prism, the lateral faces, which are parallelograms, are perpendicular to the polygonal bases.

How to Find the Surface Area of a Prism?

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face.

And then calculate the area of lateral faces connecting the bases.

Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Total surface area of a prism formula

Since we know the total surface area of a prism is equal to the sum of all its faces, i.e., the floor, walls, and roof of a prism. Therefore, the surface area of a prism formula is given as:

Total surface area of a prism = 2 x area of the base + perimeter of the base x Height

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