Problem 40
Question
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(V=\frac{1}{3} B h\) for \(B\)
Step-by-Step Solution
Verified Answer
The formula solved for \(B\) is \(B = \frac{3V}{h}\). This formula describes the base area of a pyramid or cone, given its volume \(V\) and height \(h\).
1Step 1: Identify the Variable to Solve for
We are solving for \(B\). This requires isolation of \(B\). The equation given, \(V = \frac{1}{3} B h\), shows how the variables \(V\), \(B\), and \(h\) are related.
2Step 2: Isolate B
To isolate \(B\), we have to eliminate the fractions and get rid of \(h\). Therefore, we multiply both sides of the equation by \(3\) and divide by \(h\), which gives: \(B = \frac{3V}{h}\).
3Step 3: Final Equation
The final equation, on simplification, becomes \(B = \frac{3V}{h}\), where \(B\) represents the base area of the pyramid or cone.
Other exercises in this chapter
Problem 40
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