What lengths would allow you to calculate the volume of the oblique pyramid with a square base? Check all that apply.

What lengths would allow you to calculate the volume of the oblique pyramid with a square base Check all that apply class=

Respuesta :

AB and EF
AC, CB, and EF
AD, DB, and EF

we know that

the volume of the oblique pyramid with a square base is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base

h is the height of the pyramid

In this problem

The area of the base is

[tex]B=EF^{2}\ units^{2}[/tex]

[tex]h=AB\ units[/tex]

The two formulas to calculate h are

Applying the Pythagoras Theorem

[tex]h^{2}=AC^{2}-CB^{2}[/tex] ------> [tex]h=\sqrt{AC^{2}-CB^{2}}[/tex]

[tex]h^{2}=AD^{2}-DB^{2}[/tex] ------> [tex]h=\sqrt{AD^{2}-DB^{2}}[/tex]

therefore

the answer is

AB and EF

AC, CB and EF

AD, DB and EF