Calculate the Volume of a Cuboid with Dimensions 5×9×4 Units

Given the cuboid of the figure:

What is its volume?

To solve this problem, we'll calculate the volume of the cuboid using the given dimensions:

• Step 1: Identify the dimensions
• Step 2: Apply the volume formula for a cuboid
• Step 3: Calculate the volume

Let's work through these steps:

Step 1: From the diagram, we are informed of two dimensions directly: the width $w = 5$ and the height $h = 4$. The diagram also indicates the horizontal length (along the base) is $l = 9$.

Step 2: To find the volume of the cuboid, we use the formula:
$\text{Volume} = \text{length} \times \text{width} \times \text{height}.$

Step 3: Substituting the identified dimensions into the formula, we have:
$\text{Volume} = 9 \times 5 \times 4.$

Calculating this, we find:
$9 \times 5 = 45,$
$45 \times 4 = 180.$

Therefore, the volume of the cuboid is $180$ cubic units.

This corresponds to choice \#4: 180.