Question

geometry the volume of a pyramid is given by the formula $v = \frac{bh}{3}$, where $b$ is the area of the base and $h$ is the height. what is the height of a pyramid that has a volume of 144 cubic feet and a base with an area of 72 square feet? select choice feet select choice 0 1 2 3 4 5 6 7 8 9

Explanation:

Step1: Sustituir valores en la fórmula

Dado \( V=\frac{Bh}{3} \), \( V = 144 \) y \( B=72 \). Sustituimos: \( 144=\frac{72h}{3} \).

Step2: Simplificar la ecuación

Simplificamos \( \frac{72h}{3}=24h \). Entonces, \( 144 = 24h \).

Step3: Resolver para \( h \)

Dividimos ambos lados por 24: \( h=\frac{144}{24} \).

Answer:

6