Skill: Find a missing dimension from volume

The volume of a rectangular prism is found by multiplying its three dimensions:

$$V = l \times w \times h$$

To find a missing dimension:

1. Multiply the two known dimensions.
2. Divide the volume by that product.
3. Label the answer with linear units, such as centimeters or meters.

Example: A rectangular prism has a volume of $120\text{ cm}^3$, a length of $6\text{ cm}$, and a width of $4\text{ cm}$. What is its height?

Start with the volume formula:

$$V = l \times w \times h$$

Substitute the known values:

$$120 = 6 \times 4 \times h$$

Multiply the known dimensions:

$$6 \times 4 = 24$$

Now divide the volume by $24$:

$$h = \frac{120}{24} = 5$$

The missing height is:

$$\boxed{5\text{ cm}}$$

Check: $6\text{ cm} \times 4\text{ cm} \times 5\text{ cm} = 120\text{ cm}^3$, so the answer is correct. Notice that volume uses cubic units, while the missing dimension uses regular linear units.