Use the information to answer the question. A rectangular prism has a length of 2 inches, a width of 1(1)/(2) inches, and a height of of 3.4 inches. 3(3)/(4) How many (1)/(4) Inch cubes can fit inside the rectangular prism, with no space left over?Enter the answer in the box. square

## Step 1: Convert Mixed Numbers to Improper Fractions<br />### Convert the width and height to improper fractions. $1\frac{1}{2}$ becomes $\frac{3}{2}$ and $3\frac{3}{4}$ becomes $\frac{15}{4}$.<br /><br />## Step 2: Calculate the Volume<br />### Multiply the length, width, and height to find the volume of the prism. $V = 2 \times \frac{3}{2} \times \frac{15}{4} = \frac{45}{4}$ cubic inches.<br /><br />## Step 3: Calculate the Volume of a Small Cube<br />### The volume of a small cube with side $\frac{1}{4}$ inch is $(\frac{1}{4})^3 = \frac{1}{64}$ cubic inches.<br /><br />## Step 4: Determine the Number of Cubes<br />### Divide the volume of the prism by the volume of one small cube to find the number of cubes that fit. $\frac{45}{4} \div \frac{1}{64} = \frac{45}{4} \times 64 = 45 \times 16 = 720$.