![]() ![]() The surface area 2B + PH Where B is the area of the base, H is the height of the prism and P is the perimeter of the triangular base Hence: B 0.5 1 m 0.8 m 0.4 m h 1 m P 1 m + 0.8 m + 0.81 m 2. So the surface area of this figure is 544. The surface area of a triangular prism is the sum of the area of its base and lateral faces. So one plus nine is ten, plus eight is 18, plus six is 24, and then you have two plus two plus one is five. To open it up into this net because we can make sure ![]() We get the surface area for the entire figure. And then you have thisīase that comes in at 168. You can say, side panels, 140 plus 140, that's 280. 12 times 12 is 144 plus another 24, so it's 168. Region right over here, which is this area, which is Just have to figure out the area of I guess you can say the base of the figure, so this whole And so the area of each of these 14 times 10, they are 140 square units. The volume of a triangular prism is found in the same way, but by finding the area of the triangle and then multiplying by the height. Now we can think about the areas of I guess you can consider It would be this backside right over here, but You can't see it in this figure, but if it was transparent, if it was transparent, So that's going to be 48 square units, and up here is the exact same thing. Thing as six times eight, which is equal to 48 whatever Here is going to be one half times the base, so times 12, times the height, times eight. Of this, right over here? Well in the net, thatĬorresponds to this area, it's a triangle, it has a base So what's first of all the surface area, what's the surface area We can just figure out the surface area of each of these regions. So the surface area of this figure, when we open that up, And when you open it up, it's much easier to figure out the surface area. So if you were to open it up, it would open up into something like this. Where I'm drawing this red, and also right over hereĪnd right over there, and right over there and also in the back where you can't see just now, it would open up into something like this. It was made out of cardboard, and if you were to cut it, if you were to cut it right Video is get some practice finding surface areas of figures by opening them up intoĪbout it is if you had a figure like this, and if ![]()
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