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AfilCa [17]
3 years ago
10

Find the total surface area of theprism. 8x7x8x5x5​

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0
Uhhh that would come up to 11200
ale4655 [162]3 years ago
5 0
The prism of the surface area is 11200
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A regular octagon with side length a cm can be made by cutting off
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Answer:

one side = \frac{a\sqrt{2}}{2}

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = \frac{a^{2} }{2}

x = \frac{a}{\sqrt{2}}

which, if you rationalise the denominator, you get:

x = \frac{a\sqrt{2}}{2}

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