The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?

Respuesta :

Tomila
it is v=3b*w*h/7

v is the volume, b is the base, w is the width, and h is the height 

Answer with Step-by-step explanation:

The volume of a rectangular pyramid is given by:

V=lbh/3

Where l is the length

b is the breath  

and h is the height.

Now, l',b' and h' be new length,breath and height

Then, l'=3l

b'=b

and h'=h/7

New volume=V'=l'b'h'/3

                         = [tex]\dfrac{3l\times b\times \dfrac{h}{7}}{3}[/tex]

                         = [tex]\dfrac{lbh}{7}[/tex]

Hence, Volume formula which reflects these changes is:

[tex]\dfrac{lbh}{7}[/tex]