Height of a Rectangular Prism Calculator
Calculate the height when you know the volume, length, and width
Formula
The volume of a rectangular prism is calculated as:
Where:
- V = Volume
- l = Length
- w = Width
- h = Height
To find the height, we rearrange the formula:
Calculator
Result
Example
If a rectangular prism has a volume of 600 cm³, a length of 10 cm, and a width of 5 cm:
Height = 600 ÷ (10 × 5) = 600 ÷ 50 = 12 cm
So the height of the rectangular prism would be 12 cm.
About the Height of a Rectangular Prism Calculator
A rectangular prism is a three-dimensional geometric solid characterized by six rectangular faces, where opposite faces are congruent and parallel, forming a solid shape with 12 edges and 8 vertices.
The volume of a rectangular prism tells us how much space is inside the shape. Think of it like figuring out how much water a box-shaped container could hold if you filled it to the top.
To find the volume, start with the area of the base and multiply it by the prism’s height. Because the base is a rectangle, its area is simply length × width. Multiply that result by the height to get the total volume, and always write the answer in cubic units such as cm³, m³, or in³. In short, the formula is:
V = l × w × h
where
• l = length of the base
• w = width of the base
• h = height of the prism
Sometimes you’ll be asked to work backward—for example, to find the height when you already know the volume and the other two dimensions. In that case, just divide the volume by the product of length and width, or use our calculator above to get the answer quickly.