Answer:
[tex]b=\sqrt{\frac{3V}{h}}[/tex]
Step-by-step explanation:
To solve a formula for one of its variables do that
- 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 = [tex]\frac{1}{3}[/tex] b²h
→ Underline b
∴ V = [tex]\frac{1}{3}[/tex] 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
∴ [tex]\frac{3V}{h}=b^{2}[/tex]
→ To find b take √ for both sides
∴ [tex]\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }[/tex]
→ The square root will cancel the power 2 of b
∴ [tex]\sqrt{\frac{3V}{h}}=b[/tex]
→ Switch the two sides
∴ [tex]b=\sqrt{\frac{3V}{h}}[/tex]
