So the surface area of this figure is 544. 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. Each shape has its surface area as well as volume. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Whereas volume is the amount of space available in an object. And then you have thisīase that comes in at 168. The surface area of any given object is the area or region occupied by the surface of the object. 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. 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 Therefore, 84 square feet of cloth is required for a tent.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 Since the kaleidoscope is in the shape of a triangular prism, we can use the formula for the surface area to find its height.ĥ76 = 9 \(\times\) 7.8 + (9 + 9 + 9)H ĥ76 – 70.2 = (27)H It is mentioned that the surface area of the kaleidoscope is 576 \(cm^2\) and the base height is 7.8 cm. ![]() Find the height of the kaleidoscope.Īs stated, the length of each side of the kaleidoscope is 7.8 cm. The surface area of the kaleidoscope is 576 \(cm^2\), and its base height is 7.8 cm. Hence, the surface area of a triangular prism is 264 square centimeters.Ĭathy recently purchased a new triangular kaleidoscope in which the sides are 9 cm long. Surface area of a triangular prism = bh + (a + b + c)H Step 2: We know that the surface area of a rectangular prism is equal to 2 (lb + bh + lh) square units. In the given example, the length and breadth of the rectangular prism’s base are 10 units and 6 units, respectively, and its height is 15 units. We can find the surface area of the triangular prism by applying the formula, Step 1: Note the dimensions of the given rectangular prism. ![]() The height of the triangular prism is H = 15 cm The base and height of the triangular faces are b = 6 cm and h = 4 cm. Find the surface area of the triangular prism with the measurements seen in the image.įrom the image, we can observe that the side lengths of the triangle are a = 5 cm, b = 6 cm and c = 5 cm.
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