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? o $\frac{3v}{h}$ units² o $(3v - h)$ units² o $(v - 3h)$ units² o $\frac{v}{3h}$ units²

Explanation:

Step1: Recall volume formula

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

Step2: Solve for $B$

We need to isolate $B$ in the formula $V = \frac{1}{3}Bh$. Multiply both sides of the equation by $3$ to get $3V=Bh$. Then divide both sides by $h$: $B=\frac{3V}{h}$.

Answer:

$\frac{3V}{h}$ units$^{2}$