Likewise, a pentagonal base prism will have 5 other sides apart from its identical top and base, and this applies to all prisms.Īn illustration of the rectangular faces of a prism using a triangular prism, StudySmarter OriginalsĪlways remember that the sides which are different from the top and base are rectangular - this will help you in understanding the approach used in developing the formula. For instance, a triangular base prism will have 3 other sides aside from its identical top and base. It also comprises rectangular surfaces depending on the number of sides the prism base has. Triangular PrismĪ triangular prism has 5 faces including 2 triangular faces and 3 rectangular ones.Īn image of a triangular prism, StudySmarter Originals Rectangular PrismĪ rectangular prism has 6 faces, all of which are rectangular.Īn image of a rectangular prism, StudySmarter Originals Pentagonal PrismĪ pentagonal prism has 7 faces including 2 pentagonal faces and 5 rectangular faces.Īn image of a pentagonal prism, StudySmarter Originals Trapezoidal PrismĪ trapezoidal prism has 6 faces including 2 trapezoidal faces and 4 rectangular ones.Īn image of a trapezoidal prism, StudySmarter Originals Hexagonal PrismĪ hexagonal prism has 8 faces including 2 hexagonal faces and 6 rectangular faces.Īn image of a hexagonal prism, StudySmarter Originals In general, it can be said that all polygons can become prisms in 3D and hence their total surface areas can be calculated. There are many different types of prisms that obey the rules and formula mentioned above. So we get 580 squareĬentimeters is the surface area of this box.The total surface area of a prism is the sum of twice its base area and the product of the perimeter of the base and the height 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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