Question

solve each formula or equation for the designated letter.

1. $i = prt$ for $r$ (simple interest)
2. $v = lwh$ for $w$ (volume of a rectangular solid)
3. $a=\frac{1}{2}bh$ for $b$ (area of a triangle)
4. $v=\frac{1}{3}bh$ for $h$ (volume of a pyramid)
5. $p = 2l + 2w$ for $l$ (perimeter of a rectangle)
6. $p = 2l + 2w$ for $w$ (perimeter of a rectangle)

Explanation:

Step1: Isolate $r$ in $I = Prt$

Divide both sides by $Pt$.
$r=\frac{I}{Pt}$

Step2: Isolate $w$ in $V = lwh$

Divide both sides by $lh$.
$w = \frac{V}{lh}$

Step3: Isolate $b$ in $A=\frac{1}{2}bh$

Multiply both sides by $2$ and then divide by $h$.
$b=\frac{2A}{h}$

Step4: Isolate $h$ in $V=\frac{1}{3}Bh$

Multiply both sides by $3$ and then divide by $B$.
$h=\frac{3V}{B}$

Step5: Isolate $L$ in $P = 2L+2W$

Subtract $2W$ from both sides and then divide by $2$.
$L=\frac{P - 2W}{2}$

Step6: Isolate $W$ in $P = 2L+2W$

Subtract $2L$ from both sides and then divide by $2$.
$W=\frac{P - 2L}{2}$

Answer:

1. $r=\frac{I}{Pt}$
2. $w = \frac{V}{lh}$
3. $b=\frac{2A}{h}$
4. $h=\frac{3V}{B}$
5. $L=\frac{P - 2W}{2}$
6. $W=\frac{P - 2L}{2}$