Question

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

Answer 1

we know that

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

$V=\frac{1}{3}Bh$

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

Answer 2

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