Question

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

Answer 1

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

Answer 2

we know that

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

`V=(1)/(3)Bh`

where

B is the area of the base

h is the height of the pyramid

In this problem

The area of the base is

`B=EF^(2)\ units^(2)`

`h=AB\ units`

The two formulas to calculate h are

Applying the Pythagoras Theorem

`h^(2)=AC^(2)-CB^(2)` ------>
`h=\sqrt{AC^(2)-CB^(2)}`

`h^(2)=AD^(2)-DB^(2)` ------>
`h=\sqrt{AD^(2)-DB^(2)}`

therefore

the answer is

AB and EF

AC, CB and EF

AD, DB and EF