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3 years ago

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? check all that apply.

Mathematics

1 answer:

diamong [38]3 years ago

3 0

Answer

A. XY and ST

B. VU and TW

D.TX and WX

Step-by-step explanation:

The question is on volume of a hexagonal right pyramid

The formula for volume of hexagonal right pyramid is

$V=\frac{\sqrt{3} }{2}a^2h$

where a is the base length and h is the height of the pyramid.

So to get the volume, you need to find the base area then multiply it by the height.

Let observe the lengths that can help you in calculating the volume.

Length XY is important because it is a base length

Length st is important because it is the height of the pyramid

Length VU/YZ is important because it is a base length

Length TW/TX is important because it could help you determine the slant height and if the apothem length is given, you can determine the height TS

Length XW is important because it is a base length

Length XS is not important because it is not the apothem length.Apothem length is a perpendicular bisector of the base length originating from the center of the pyramid

Therefore the correct pairs of lengths are ;

A. XY and ST

B. VU and TW

D.TX and WX

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4 years ago

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4 years ago

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Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given expression is

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So, using Sum of n terms of GP, we get

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$\rm :\longmapsto\: {1}^{n} + {2}^{n} + {3}^{n} + - - - + {(n - 1)}^{n} + {n}^{n}$

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Now, Consider

$\rm :\longmapsto\:\displaystyle\lim_{n \to \infty} \frac{n + {n}^{2} + {n}^{3} + - - + {n}^{n} }{ {1}^{n} + {2}^{n} + {3}^{n} + - - + {n}^{n} }$

So, on substituting the values evaluated above, we get

$\rm \: = \: \displaystyle\lim_{n \to \infty} \frac{\dfrac{ {n}^{n} - 1}{1 - \dfrac{1}{n} }}{{n}^{n}\bigg[1 +\bigg[1 - {\dfrac{1}{n}\bigg]}^{n} + \bigg[1 - {\dfrac{2}{n}\bigg]}^{n} + - - - + \bigg[{\dfrac{1}{n}\bigg]}^{n} \bigg]}$

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3 0

3 years ago

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aleksandrvk [35]

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