Problem 119

Question

Solve for \(h: \quad V=\frac{1}{3} A h .\) (Section 2.4, Example 4)

Step-by-Step Solution

Verified
Answer
The height of the pyramid, h, can be found using the formula \(h = \frac{3V}{A}\).
1Step 1: Write down the given formula
The volume (V) of a pyramid is given by the formula \(V = \frac{1}{3}Ah\). Here, the base area is denoted by A and the height of the pyramid is represented by h.
2Step 2: Isolate h
To find the value of h, multiply both sides of the equation by 3 to eliminate the fraction, resulting in \(3V = Ah\). Then, divide both sides of the equation by A to isolate h, so \(h = \frac{3V}{A}\).