## Find the Volume of Prisms

## Work Time

# Find the Volume of Prisms

When a rectangular prism has whole-number edge dimensions, you can find its volume using the formula *V *=* l ⋅ w ⋅ h*, where* l, w,* and *h* represent the length, width, and height of the prism. Investigate whether this formula works even if the dimensions are not whole numbers.

Use the $\frac{1}{4}$-unit cubes to build a prism with a length of 1$\frac{1}{4}$ units, a width of $\frac{3}{4}$units, and a height of $\frac{1}{2}$ unit.

- How many $\frac{1}{4}$-unit cubes fit inside the prism?
- What is the volume of the prism?
- Does the volume formula
*V*=*l ⋅ w ⋅ h*(or*V*=*lwh)*work for this prism?

INTERACTIVE: Cube Builder

## Hint:

How many 14 -unit cubes fit inside a 1-unit cube?