Question

T rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of

Answer 1

Answer:

Volume of the rectangular prism is $11\frac{1}{4}$ cubic feet.

The number of small cubes required is 90.

Step-by-step explanation:

The rectangular prism has a length of $2\frac{1}{2}$ feet, a width of 3 feet, and a height of  $1\frac{1}{2}$ feet.

Now, the volume of the rectangular prism will be $(2\frac{1}{2} \times 3 \times 1\frac{1}{2}) = (\frac{5}{2} \times 3 \times \frac{3}{2}) = \frac{45}{4}$ cubic feet i.e. $11\frac{1}{4}$ cubic feet. (Answer)

Now, the volume of the small unit cubes of side lengths of $\frac{1}{2}$ feet will be $(\frac{1}{2})^{3} = \frac{1}{8}$ cubic feet.

So, the number of small cubes required to fill the large cube will be $(\frac{45}{4} \div \frac{1}{8}) = 90$. (Answer)