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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.

Please help The volume V of a pyramid is given by the formula V=13Bh, where B is the-example-1
User Otmezger
by
7.9k points

2 Answers

3 votes
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.
User Marquito
by
8.1k points
6 votes

Answer:

(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.

User Steven Behnke
by
7.8k points
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