Question

The volume V of a pyramid is given by the formula V=1/3Bh, where B is the area of the base and h is the height.

Answer 1

Pyramid Volume = (Area of the Base * Height) ÷ 3

Height = 3 * Volume / (Area of Base)

Height = 3 * 216 / 36

Height = 18 cm

Answer 2

Answer:

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

b) The height of the pyramid is 18 cm.

Step-by-step explanation:

Given : 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.

To find :

a. Solve the formula for h

b. Find the height of the pyramid

Solution :  

We have given the Volume of the pyramid is V=216 cubic cm.

The base of the pyramid is B=36 square cm.

a) The formula of volume of pyramid is

$V=\frac{1}{3}Bh$

$3V=Bh$

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

b) Substitute the values in the formula,

$h=\frac{3(216)}{36}$

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

$h=18$

Therefore, The height of the pyramid is 18 cm.