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which one do you want to do?
We can start on the first one if you don't mind:) I just don't understand them.
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. lateral area is the "side area" , which is the area not including the "top or bottom" That is not very clear, but we we assume the top and bottom are the triangles and that means the "sides" are the 3 rectangles.
The first step to doing this is find the length and width of each side can you say what the length and width of the "bottom rectangle" is ?
23 and 9
and the area of a rectangle is length * width so the area of the bottom side is 23*9
Which sides do you do this to?
we are finding the area of the sides that are "rectangles" this is the bottom side of the prism |dw:1441657465989:dw|
And the top would be 23*12.04?
Do we need to do the back too? If we did then I think it would be 8*23
yes. also the back. I am assuming the prism has "sides" and a "top and bottom" the top and bottom will be the two triangle faces (top and bottom should look alike) that leaves the 3 rectangles as the "sides" (even though the prism is laying on its side)
Ok. Is there a reason why the rectangles couldn't be the top and bottom?
It is "convention". (It is also sometimes not obvious) but in this case, with 3 sides, it is hard to argue 2 of them are the top and bottom (and the two triangle faces are sides). so just assume: we have more than two sides, and the sides all have the same shape. we have a top and bottom, and those two have the same shape.
Ok that makes sense
in this figure we have 3 rectangle faces and 2 triangle faces. so sides will be the rectangles and the 2 triangles will be the top and bottom.
so the lateral area will be 207+276.92 + 184= 667.92 rounded to the nearest whole number: 668
for the surface area (which is the lateral area plus the top and bottom) we need to add in the area of the two triangles can you figure the area of a triangle? height is 8, base is 9
8*9 is 72 and if the other side is the same then the two together would be 144. Is that the surface area?
the surface area is the total area. so add 72 to the lateral area to get the surface area
Would I need to add 72 or 144?
** if the other side is the same *** yes, it is. You use the idea that opposite sides of a rectangle are equal thus |dw:1441658469941:dw|
the area of a triangle is 1/2 base * height
so you have 1/2 * 8 * 9 = 36 and the other triangle is the same 8 by 9 size so another 36 total of *both* triangles is 72
Oh I left out the 1/2. I get it now
surface area is 667.92 + 72 (notice we should always use the most accurate number) after we add up, then round to get the final answer.
Would you like me to make a new question for the next one or do you want to just stay here?
please make a new post. they get too long otherwise.
Ok I'll tag you in it. Thank you so much!