6. The formula for the volume of a rectangular prism is V=lwh.
a. Solve this formula for h.
b. Find the height of a rectangular prism with a volume of 189 cm2 , a length of 9 cm, and a width of 7 cm.
a. To solve the formula for h, we need to isolate it on one side of the equation.
Given that the volume formula for a rectangular prism is V = lwh, we can rearrange the equation to solve for h:
V = lwh
Divide both sides of the equation by lw:
V/(lw) = h
Therefore, the formula for h is h = V / (lw).
b. To find the height of a rectangular prism with a volume of 189 cm², a length of 9 cm, and a width of 7 cm, substitute the given values into the formula:
h = V / (lw)
h = 189 cm² / (9 cm * 7 cm)
h = 189 cm² / 63 cm²
h = 3 cm
Therefore, the height of the rectangular prism is 3 cm.
a. To solve the formula V = lwh for h, we want to isolate h on one side of the equation. Here's how we can do it:
1. Start with the equation: V = lwh.
2. Divide both sides of the equation by lw to isolate h: V / (lw) = h.
So, the solved formula for h is h = V / (lw).
b. To find the height of a rectangular prism with a volume of 189 cm², a length of 9 cm, and a width of 7 cm, we can substitute the given values into the formula we obtained in part a:
1. Substitute V = 189 cm², l = 9 cm, and w = 7 cm into the formula h = V / (lw).
2. Calculate the value: h = 189 cm² / (9 cm * 7 cm).
3. Perform the multiplication: h = 189 cm² / 63 cm².
4. Divide the values: h = 3 cm.
Therefore, the height of the rectangular prism is 3 cm.
h = V/(lw)
so plug in your numbers