Particularly with rectangular prisms, it is easy to confuse these two topics if a student does not have a complete understanding of the difference. This is part of a collection of math formulas. Volume and surface area are different things – volume tells us the space within the shape whereas surface area is the total area of the faces. Formulas-Surface Area of a Triangular Prism The formula for the Surface Area of a Triangular Prism. The surface area of Prism 2 × Area of the base + Perimeter of the base × Height. Because in a prism, the roof and the floor have the same shape and their surface areas are always the same which can be found out by. A P t (b × h t) + h (a + b + c) b is 6 m, h t is 4 m, h is 3 m, a is 5 m, and c is also 5 m (Isosceles triangular base) Then substitute into your formula and solve. The surface area of a prism is always equal to the sum of the areas of all its faces, which includes the floor, walls, and roof. Solution: The total surface area of a triangular prism A Pt is. Or you might recognize this from exponents. And so we get 3 times 3 times 3, which is 27. So the volume is going to be the area of this surface, 3 times 3, times the depth.
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