Question

1. the volume of a right pyramid is given by the formula v = 1/3bh, where b is the area of the base and h is the height. solve the formula for h. then find the height, in inches, of a right pyramid with a volume of 900 cubic inches and a base area of 225 square inches. h = 3v/b; 12 inches h = b/3v; 0.08 inches h = 3v/b; 4 inches h = v - 1/3b; 825 inches

Explanation:

Step1: Solve the formula for h

Given $V=\frac{1}{3}Bh$, multiply both sides by 3 to get $3V = Bh$. Then divide both sides by $B$: $h=\frac{3V}{B}$.

Step2: Substitute given values

We know $V = 900$ cubic - inches and $B=225$ square - inches. Substitute into $h=\frac{3V}{B}$, so $h=\frac{3\times900}{225}$.
$3\times900 = 2700$, and $\frac{2700}{225}=12$.

Answer:

$h=\frac{3V}{B};12$ inches