Question

prism h is filled with unit cubes that have side length 1 foot. there are...... layers with...... cubes in each layer.......×...... cubes =...... cubes the volume is......

Explanation:

Step1: Recall volume formula for prism

Volume of a prism filled with unit - cubes = number of layers×number of cubes in each layer.

Step2: Assume number of layers and cubes per layer

Let the number of layers be $l$ and the number of cubes in each layer be $n$. Then the total number of cubes is $l\times n$.

Step3: Find volume

Since each unit - cube has a volume of 1 cubic foot, the volume of the prism (in cubic feet) is equal to the total number of unit - cubes. So if there are $l$ layers with $n$ cubes in each layer, and $l\times n = N$ (total number of cubes), the volume $V = N$ cubic feet.

Answer:

Let the number of layers be $l$, the number of cubes in each layer be $n$. The volume of the prism is $l\times n$ cubic feet.