Question

Please help

The volume V of a pyramid is given by the formula V=13Bh, where B is the area of the base and h is the height.

a. Solve the formula for h.

h=



b. Find the height h of the pyramid.

The height is centimeters.

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

(a).
`h=(3V)/(B)`

(b). 18 cm.

Explanation:

We have been given the volume of pyramid is given by the formula
`V=(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=(1)/(3)Bh`

Multiply both sides by
`3`:

`3\cdotV=3\cdot(1)/(3)Bh`

`3V=Bh`

Divide both sides by B:

`(3V)/(B)=(Bh)/(B)`

`(3V)/(B)=h`

Switch sides:

`h=(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.