Question

what is the volume of the box? $\frac{1}{4}$ ft

Explanation:

Step1: Find volume of small cube

The volume of a cube is $V = s^3$. Given $s=\frac{1}{4}\text{ ft}$, so $V_{small}=(\frac{1}{4})^3=\frac{1}{64}\text{ ft}^3$.

Step2: Count number of small cubes

Counting the small - cubes in the box, we have $8\times3\times12 = 288$ small cubes.

Step3: Calculate volume of the box

$V_{box}=V_{small}\times\text{Number of small cubes}=\frac{1}{64}\times288=\frac{288}{64} = 4.5=4\frac{1}{2}\text{ ft}^3$.

Answer:

B. $4\frac{1}{2}\text{ ft}^3$