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

A. [tex]V=\frac{1}{3} Bh[/tex]
B. [tex]V=Bh[/tex]
C. [tex]V=\frac{1}{3} Bh^2[/tex]
D.[tex]V=-\frac{1}{3} Bh[/tex]

Respuesta :

Answer:

Correct choice is A.

Step-by-step 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:

[tex]volume = \frac{1}{3}\left(Base\ area\right)\left(Height\right)[/tex]

Plug the given values

[tex]volume = \frac{1}{3}\left(B\right)\left(h\right)[/tex]

So the correct choice is A.

Answer: A.  [tex]\dfrac{1}{3}\times\text{B}\times\text{h}[/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 of the pyramid}\times\text{Height of pyramid}[/tex]

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 :-

[tex]\text{Volume}=\dfrac{1}{3}\times\text{B}\times\text{h}[/tex]

Hence, the formula for the volume of a pyramid with base area B and height h =[tex]\dfrac{1}{3}\times\text{B}\times\text{h}[/tex]