Question

the volume of an oblique pyramid with a square base is v units³ and the height is h units. which expression represents the area of the base of the pyramid? ○ \\(\frac{3v}{h}\\) units² ○ \\((3v - h)\\) units² ○ \\((v - 3h)\\) units² ○ \\(\frac{v}{3h}\\) units²

Explanation:

Step1: Recall the volume formula for a pyramid

The volume \( V \) of a pyramid is given by the formula \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height.

Step2: Solve the formula for \( B \)

Starting with \( V = \frac{1}{3}Bh \), we can multiply both sides of the equation by 3 to get \( 3V=Bh \). Then, divide both sides by \( h \) (assuming \( h
eq0 \)) to isolate \( B \). So, \( B=\frac{3V}{h} \).

Answer:

\(\boldsymbol{\frac{3V}{h}}\) units\(^2\) (the first option)