If you have the volume formula for a rectangular prism, what does the formula V = lwh transpose for h yield?

If you have the volume formula for a rectangular prism, what does the formula V = lwh transpose for h yield?

• A. h = V / wl
• B. h = V / l
• C. h = l / V
• D. h = V × lw

Answer: (A)

The formula for the volume of a rectangular prism is given by V = lwh, where V is the volume, l is the length, w is the width, and h is the height. To find h in terms of the other variables, you need to isolate h on one side of the equation. Starting from the volume formula, you can manipulate the equation to solve for h. Since h is multiplied by both l and w, you can divide both sides of the equation by the product of l and w. This gives you: h = V / (lw) This result shows that the height h can be calculated by taking the volume V and dividing it by the product of the length l and width w. This process ensures that the calculation for height accurately reflects the relationship between these dimensions in the context of a rectangular prism's volume, affirming that the formula h = V / wl correctly describes height in terms of volume, length, and width.

The formula for the volume of a rectangular prism is given by V = lwh, where V is the volume, l is the length, w is the width, and h is the height. To find h in terms of the other variables, you need to isolate h on one side of the equation.

Starting from the volume formula, you can manipulate the equation to solve for h. Since h is multiplied by both l and w, you can divide both sides of the equation by the product of l and w. This gives you:

h = V / (lw)

This result shows that the height h can be calculated by taking the volume V and dividing it by the product of the length l and width w.

This process ensures that the calculation for height accurately reflects the relationship between these dimensions in the context of a rectangular prism's volume, affirming that the formula h = V / wl correctly describes height in terms of volume, length, and width.