A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

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calculista calculista · Answer 1 · 2019-07-27T04:12:36+02:00

Answer:

[tex]V=\frac{h}{3}(5.2)\ cm^{3}[/tex] or [tex]V=1.73h\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base

H is the height of pyramid

In this problem we have

[tex]B=5.2\ cm^{2}[/tex]

[tex]H=h\ cm[/tex]

substitute in the formula

[tex]V=\frac{1}{3}(5.2)(h)[/tex]

[tex]V=\frac{h}{3}(5.2)\ cm^{3}[/tex] or [tex]V=1.73h\ cm^{3}[/tex]

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raphealnwobi raphealnwobi · Answer 2 · 2022-01-21T14:21:34+01:00

The expression that represents the volume of the pyramid is 5.2h cm³

Prism is a three dimensional figure. A prism is a 3-dimensional shape with two identical shapes (bases) facing each other.

The volume (V) of a hexagonal prism is given by:

where b is the base area and h is the height of the prism.

Given that b = 5.2 cm², hence:

The expression that represents the volume of the pyramid is 5.2h cm³

Find out more on prism at: https://brainly.com/question/23766958