Question

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

Answer 1

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.

Answer 2

Answer:  C. $\dfrac{1}{3}(5.2)h\ cm^3$

Step-by-step explanation:

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

$\text{Volume}=\dfrac{1}{3}\times\text{Base area}\times\text{Height}$

Given : Base Area = $5.2\ cm^2$

Height = h cm

⇒$\text{Volume}=\dfrac{1}{3}\times5.2\times h$

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

$\dfrac{1}{3}(5.2)h\ cm^3$

Hence, the correct answer is : Option (C)