Question

Solve the formula V = 1/3b^2 h for b.

Answer 1

Answer:

$b=\sqrt{\frac{3V}{h}}$

Step-by-step explanation:

To solve a formula for one of its variables do that

• Underline the variable

• Separate it on one side and the other terms on the other side

• Make its coefficient equals 1

Let us use these steps to solve our question

∵ V = $\frac{1}{3}$ b²h

→ Underline b

∴ V = $\frac{1}{3}$ b²h

→ Multiply both sides by 3 to cancel the denominator on the right side

∴ 3V = b²h

→ Divide both sides by h to move it to the other side

∴ $\frac{3V}{h}=b^{2}$

→ To find b take √  for both sides

∴ $\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }$

→ The square root will cancel the power 2 of b

∴ $\sqrt{\frac{3V}{h}}=b$

→ Switch the two sides

∴  $b=\sqrt{\frac{3V}{h}}$