Question

The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area of the base of the pyramid?

a) 3 v/h unils^2
b) (3 v - h)unils^2
c) (v - 3 h)unils^2
d) v/3h unils^2

Answer 1

A on edge 2020

Explanation:

Answer 2

Answer: a)
`(3V)/(h)\ units^2`

Explanation:

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

`\text{Volume}=(1)/(3)\text{(Base Area x height) }`

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.

Then, we have

`V=(1)/(3)\text{(Base Area x h) }`

Multiply 3 on both sides , we get

`3V=\text{(Base Area x h) }`

Divide both sides by h , we get

`(3V)/(h)=\text{Base Area }`

i.e.
`\text{Base Area }=(3V)/(h)\ units^2`

Hence, the expression represents the area of the base of the pyramid =
`(3V)/(h)\ units^2`

Hence, the correct answer is a) 3 v/h units^2