Question

Which of the following is the formula for the volume of a pyramid with base area B and height h?

A.
`V=(1)/(3) Bh`
B.
`V=Bh`
C.
`V=(1)/(3) Bh^2`
D.
`V=-(1)/(3) Bh`

Answer 1

Answer: A.
`(1)/(3)*\text{B}*\text{h}`

Explanation:

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

`\text{Volume}=(1)/(3)*\text{Base Area of the pyramid}*\text{Height of pyramid}`

Let B be the Base Area of the pyramid and h be the Height of pyramid, then the formula for the volume of a pyramid with base area B and height h will become :-

`\text{Volume}=(1)/(3)*\text{B}*\text{h}`

Hence, the formula for the volume of a pyramid with base area B and height h =
`(1)/(3)*\text{B}*\text{h}`

Answer 2

Correct choice is A.

Explanation:

We have to find about which of the given choices is the formula for the volume of a pyramid with base area B and height h.

We know that formula of volume of pyramid is given by:

`volume = (1)/(3)\left(Base\ area\right)\left(Height\right)`

Plug the given values

`volume = (1)/(3)\left(B\right)\left(h\right)`

So the correct choice is A.