Surface area of octagonal prism = 4a 2 (1 + √2) + 8aHĬheck out types of prisms to get more details about various prisms. Surface area of regular hexagonal prism = 6ah + 3√3a 2 Surface area of hexagonal prism = 6b(a + h) Surface area of pentagonal prism = 5ab + 5bh Surface area of trapezoidal prism = h (b + d) + l (a + b + c + d) Surface area of rectangular prism = 2(lb + bh + lh) Surface area of square prism = 2a 2 + 4ah Surface area of triangular prism = bh + (s1 + s2 + b)H Surface Area of Prism = (2 × Base Area) + (Base perimeter × height) See the table below to understand this concept behind the surface area of various prism: Shape The bases of different types of prisms are different so are the formulas to determine the surface area of the prism. The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height). Thus, the lateral surface area of prism = base perimeter × height The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Let us look at the surface area of the prism formula The total surface area of a prism is the sum of lateral surface area and area of two flat bases. To find the surface area of any kind of prism we use the general formula. Finding the surface area of a prism means calculating the total space occupied by all the faces of that respective type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane. So we get 580 squareĬentimeters is the surface area of this box.The surface area of a prism refers to the amount of total space occupied by the flat faces of the prism. The one, it's a 100, and then we have 500. And so we get zero, this is going to be carry the one, or regroup The corresponding side opposite to it that we can't see. Panel, but there's another side panel that has theĮxact same area that's on the other side of the box, so it's 60 centimeters squared for this side, and then another 60 for Three centimeters times 20 centimeters is going to give us 60 square centimeters. Three times 20, that's 20 centimeters right there. The box is 20 centimeters and three centimeters deep. That is 20 centimeters tall, we see that the height of Then we have two more sides,Ĭuz this box has six sides, We have this side panel See it right now, so that's gonna be another 30. Well, the bottom of theīox is gonna have the exact same area, we just can't So that's the top of theīox, 30 square centimeters. Gonna be three centimeters times 10 centimeters, which It's three centimeters deepĪnd it's 10 centimeters wide. The top of the box, we see theīox is three centimeters deep so this right over here ![]() Now let's figure out theĪrea of the top of the box. And so let's write anotherĢ00 square centimeters for the back of the box. Now we also know there'sĪnother side that has the exact same area as theįront of the box, and that's the back of the box. 200 centimeters, or 200 squareĬentimeters, I should say. Times 10 centimeters, and that's going to Out its area we can just multiply 20 centimeters ![]() Is 20 centimeters tall and 10 centimeters wide. Sides that we can't see are and how they might relate, and See, and then think about what the surface area of the ![]() The first way is, well let'sįigure out the surface area of the sides that we can And there's a couple of ways to tackle it. We can figure out the surface area of this cereal box.
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