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Check the picture below.
so the <u>triangular prism</u> is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.
let's notice, the triangles have a base of 2.4 and a height/altitude of 1.
The factorized form of the given equation is ~
Let's solve ~
Now, as we can see, an Identity is applied here ~
that is ;
So, let's use this identity in our next step, taking :
- a = 3x
- b = 7y