si units | Mathematics | Page 1

autumn plume Mar 14, 2024, 2:57 AM

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perimeter of base= 43 m
lateral surface area = 43* 23= 989 m sq

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h= 12.72 (Using the Pythagoras for the right angles triangle)

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base area= 12.72*8.5= 108.2
total surface area= lateral surface area + 2 base area
989+ 216.24= 1205. 24 m sq

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So when we’re finding the perimeter of the base, we are finding the perimeter of the triangle, which we do by adding all its sides 13+13+17 = 43

compact ravine Mar 14, 2024, 3:07 AM

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h can be solved using pythag's theorem

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so yk how

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,tex $a^2 + b^2 = c^2$

serene lichenBOT Mar 14, 2024, 3:07 AM

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FuzzyPenguin

compact ravine Mar 14, 2024, 3:07 AM

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therefore, in order to find a (or b) for that matter...

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,tex $a=\sqrt{c^2-b^2}$

serene lichenBOT Mar 14, 2024, 3:08 AM

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FuzzyPenguin

compact ravine Mar 14, 2024, 3:09 AM

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c in this case is 13, b is 17/2, I'm sure you can solve the rest for h

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as for finding the surface area, the base, is just 23*17, the sides are 23*13*2, and the triangle, you can solve by 2*h*17.5, and you can add all of them up to find the surface area

autumn plume Mar 14, 2024, 3:38 AM

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use the pythagoras therom here too

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2 is the base, 3 is the height of the triangle

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and you can find the hypoteneus, which is the slant height @sonic aurora

autumn plume Mar 14, 2024, 4:22 AM

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@sonic aurora

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3 square + 2 square is 13

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square root of 13

autumn plume Mar 14, 2024, 5:18 AM

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@sonic aurora

autumn plume Mar 14, 2024, 6:44 AM

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Square root of 13 @sonic aurora

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Yes, for the length of the slant height

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You could put that value “square root of 13” and maybe it will give you a simplified form of it

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Yes and square root it

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It will give you the value of h

autumn plume Mar 14, 2024, 8:46 AM

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You used 17 m to find the h, you’re supposed to use half its length (8.5)

autumn plume Mar 14, 2024, 9:36 AM

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@sonic aurora

autumn plume Mar 15, 2024, 7:47 AM

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find the area of the triangle and multiply it with the height of the prism

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the basic concept is the same for all, all you gotta do to find the volume of a shape is to find the area of the base and multiply it with the shapes height

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@sonic aurora

autumn plume Mar 15, 2024, 9:05 AM

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6*8= 48 which is the area of the base

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48*20=960

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960 is the volume

autumn plume Mar 15, 2024, 10:35 AM

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no

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previously when we were square rooting that was to find the length of one side of the triangle using the pythagoras rule

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Over here we already have the a and b, that’s what’s required to find the area of the triangle

autumn plume Mar 15, 2024, 10:37 AM

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autumn plume 6*8= 48 which is the area of the base

6* 8* 0.5 (sorry it’s supposed to be this actually)

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giving u 480 as the volume

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