Formula to find missing dimension for right rectangular prism
The formula to find missing dimension for a right rectangular prism depends on which dimensions are given. Here are the formulas for finding each missing dimension:
- If the length (l) and width (w) are given and the height (h) is missing: h = V / (l * w), where V is the volume of the prism.
- If the length (l) and height (h) are given and the width (w) is missing: w = V / (l * h).
- If the width (w) and height (h) are given and the length (l) is missing: l = V / (w * h).
- If the volume (V) and two dimensions (l and w or l and h or w and h) are given and the third dimension is missing: the formula to use depends on which two dimensions are given, but it will always involve dividing the volume by the product of the two known dimensions.
To find a missing dimension for a right rectangular prism, you can use the formula:
Volume = length x width x height
If you know the values for two dimensions and the volume of the prism, you can rearrange the formula to solve for the missing dimension.
For example, if you know the length is 4 units, the width is 3 units, and the volume is 24 cubic units, you can substitute these values into the formula:
24 = 4 x 3 x height
Now, you can solve for the missing dimension (height) by rearranging the equation:
24 = 12 x height
Divide both sides of the equation by 12:
24/12 = height
Simplifying, you get:
2 = height
So the missing dimension (height) in this case would be 2 units.