A trapezoid pyramid has a base area of 128 square centimeters. If it’s volume is 10,240 cubic centimeters, what is the height of the pyramid

Respuesta :

Answer:

The height of the pyramid is [tex]1.875\ cm[/tex]

Step-by-step explanation:

we know that

The volume of the trapezoid pyramid is equal to

[tex]V=Bh[/tex]

where

B is the area of the trapezoid base

h is the height of the pyramid

we have

[tex]B=128\ cm^{2}[/tex]

[tex]V=240\ cm^{3}[/tex]

substitute and solve for h

[tex]240=(128)h[/tex]

[tex]h=240/(128)=1.875\ cm[/tex]