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.
`(1)/(3)(5.2)h\ cm^3`

Explanation:

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

`\text{Volume}=(1)/(3)*\text{Base area}*\text{Height}`

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

Height = h cm

⇒
`\text{Volume}=(1)/(3)*5.2* h`

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

`(1)/(3)(5.2)h\ cm^3`

Hence, the correct answer is : Option (C)