Question

Please help

Answer 1

Solving process:

1. Plug numbers into formula with their corresponding variable.

V=(1/3)Bh
216=(1/3)(36)h

2. Multiply 1/3 and 36.

216=12h

3. Divide 216 by twelve.

18=h

4. The height is 18 cm.

Answer 2

Answer:

(a). $h=\frac{3V}{B}$

(b). 18 cm.

Step-by-step explanation:

We have been given the volume of pyramid is given by the formula $V=\frac{1}{3}Bh$, where B is the area of the base and h is the height.

(a). Let us solve the given formula for h as:

$V=\frac{1}{3}Bh$  

Multiply both sides by $3$:

$3\cdotV=3\cdot\frac{1}{3}Bh$  

$3V=Bh$

Divide both sides by B:

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

$\frac{3V}{B}=h$

Switch sides:

$h=\frac{3V}{B}$

(b). To find the height for the given pyramid, we will substitute the given values as:

$h=\frac{3(216\text{ cm}^3)}{36\text{ cm}^2}$

$h=\frac{648\text{ cm}}{36}$

$h=18\text{ cm}$

Therefore, the height of the pyramid is 18 cm.