Calculate Rectangular Prism Volume: 12cm Width with 40% and 30% Proportions

To solve this problem, we'll follow these steps:

• Step 1: Calculate the dimensions of the prism using the given percentages.
• Step 2: Apply the volume formula for a rectangular prism.
• Step 3: Perform the necessary calculations to find the volume.

Now, let's work through each step:
Step 1: Given the width $W = 12 \, \text{cm}$.
- Length $L = 0.4 \times W = 0.4 \times 12 = 4.8 \, \text{cm}$.
- Height $H = 0.3 \times W = 0.3 \times 12 = 3.6 \, \text{cm}$.

Step 2: Use the volume formula: $V = L \times W \times H$.

Step 3: Substitute the values:
$V = 4.8 \times 12 \times 3.6$.
Calculate $V = 207.36 \, \text{cm}^3$.

Therefore, the volume of the rectangular prism is approximately $207.36 \, \text{cm}^3$.
The answer closest to this value, accounting for rounding to match choices given, is 207.3 cm³.

The correct answer is choice 2: 207.3 cm³.