Triangle right over here, it's going to be 1/2 times our base, which is three, times three, times our height, which is six. The area of one of the triangles and then multiply by four, since there are four triangles. Now what are the area of the triangles? Well we could figure out Inches so it would be nine inches squared. Well the area of thisĬentral square is pretty easy to figure out. Gonna be the combined area of these figures. Out this surface area, which is really just Much gold foil we need we're trying to figure Inches, and this over here is six inches. And all of their heights,Īll of their height are six inches. That, they all have the same base, three, and theyĪll have the same height, six inches. Each of these triangularįaces, they all have the exact same area. The triangular faces, what's it going to look like? Well this is going to look like this. Let me color that sameĬolor just so we recognize that we're talking about this same base. Then this is three inches then this is gonna be Pyramid so the base, all the sides are the same. And what are the dimensions there? It's three by three. The triangular sides and if I were to just open it all up, what would this look like? So if I were to open it all up? Well at the bottom you Imagine if I were to unleash or if I were to cut the topĪnd, let me do this in red, if I were to cut this edge, if I were to cut this edge, if I were to cut that edge, and that edge. Square pyramid and think about it in two dimensions. We don't miss any area, I'm gonna open up this You might be able to think about this just by looking at this figure, but just to make sure The area of the gold foil that is needed. The base 'cause the surface area is how much, it's They're asking is what is the surface area of this square pyramid. Take to cover the trophy? Alright now let's work In inches squared so it's really going to be an area. Take to cover the trophy, including the bottom? And so they give us someĭimensions and we want how much gold foil and it's Of a square pyramid and is covered in shiny gold foil. A prize at a science fair for having the most informative project.
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