To find the volume of a rectangular prism, you multiply its length, width, and height together. The formula is:
Volume=length×width×height\text{Volume}=\text{length}\times \text{width}\times \text{height}Volume=length×width×height
This works because the volume measures the amount of space inside the prism, which is the area of the base (length × width) multiplied by the height. The result is expressed in cubic units (such as cubic centimeters, cubic meters, or cubic inches) since volume is three-dimensional
. Example:
If a rectangular prism has a length of 4 cm, a width of 3 cm, and a height of
6 cm, then
Volume=4×3×6=72 cm3\text{Volume}=4\times 3\times 6=72\text{ cm}^3Volume=4×3×6=72 cm3
So, the volume is 72 cubic centimeters
. In summary:
- Identify the length, width, and height of the prism.
- Multiply these three dimensions.
- Write the answer with cubic units.
This formula is straightforward and applies to any rectangular prism