Question

what is the volume of the rectangular prism? type the answer in the boxes below. 1/2 cm cm³

Explanation:

Step1: Find edge length of small cube

Edge length = $\frac{1}{2}$ cm

Step2: Calculate volume of 1 small cube

Volume = $(\frac{1}{2})^3 = \frac{1}{8}$ cm³

Step3: Count small cubes in prism

Prism dimensions: 6 (length) × 2 (width) × 3 (height)
Total cubes = $6×2×3 = 36$

Step4: Compute total volume

Total volume = $36×\frac{1}{8} = \frac{36}{8} = \frac{9}{2}$

Answer:

$\frac{9}{2}$