miaramirez10
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Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.

XY and ST
VU and TW
XS and XW
TX and WX
VU and YZ

Which lengths can be used directly or indirectly to calculate the volume of the hexagonal right pyramid Select three options XY and ST VU and TW XS and XW TX an class=

Respuesta :

Answer:

See below.

Step-by-step explanation:

The volume is 1/3 * height * area of the base so we need the height and this area to find the volume. Note: if we join the point S to each of the vertices of the base we get 6 equilateral triangles so knowing the length of a side of the base we can find the area of the base.

The following lengths can be used:

XY and ST  We can get the area of the base knowing the length of XY and ST is the height.

VU and TW. From VU we can get the area of the base and the length of SW and from the length of TW and SW we can get the height.

TX and WX . From WX we can get the area of the base and the length of SX and from TX and SX we can find the height.

MrRoyal

The volume of a pyramid is the product of its base area and height, divided by 3.

The true options are (a) XY and ST , (b) VU and TW  and (d) TX and WX

The volume of the hexagonal right pyramid is:

[tex]\mathbf{V = \frac 13 a^2h}[/tex]

Where: h represents the height, and (a) represents the side lengths.

So, by comparison:

[tex]\mathbf{a = XY =YZ = ZU = UV = VW = WX}[/tex]

[tex]\mathbf{h = ST}[/tex]

So, lengths XY and ST can be used to determine the volume of the pyramid.

Other lengths that can be used are: VU and YZ, and TX and WX.

This is so because:

Lengths VU and WX can be used to calculate the area (a^2), while lengths YZ and TX can be used to calculate height (h)

Hence, the true options are (a), (b) and (d)

Read more about volumes at:

https://brainly.com/question/13014314