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a solid right triangle pyramid has a regular hexagonal base with an area of 5.2 cm^2 and height of h cn. Which expression represents the volume of the pyramid?
A. 1/5(5.2)h cm^3.

B. 1/5h(5.2)h cm^3

C.1/3(5.2)h cm^3

D.1/3h(5.2)h cm^3

Respuesta :

Volume of a pyramid = (1/3)*(area Base)*height
Volume of a pyramid = (1/3)*(5.2)*h cm³

Answer is C.1/3(5.2)h cm³.
JeanaShupp

Answer:  C. [tex]\dfrac{1}{3}(5.2)h\ cm^3[/tex]

Step-by-step explanation:

We know that the volume of a pyramid is given by :-

[tex]\text{Volume}=\dfrac{1}{3}\times\text{Base area}\times\text{Height}[/tex]

Given : Base Area = [tex]5.2\ cm^2[/tex]

Height = h cm

⇒[tex]\text{Volume}=\dfrac{1}{3}\times5.2\times h[/tex]

Then, the expression represents the volume of the pyramid will be :-

[tex]\dfrac{1}{3}(5.2)h\ cm^3[/tex]

Hence, the correct answer is : Option (C)

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