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

Question

Given the cuboid of the figure:

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What is its volume?

Video Solution

Solution Steps

00:00 Calculate the volume of the box
00:03 We'll use the formula for calculating box volume
00:07 Width times height times length
00:11 We'll substitute appropriate values according to the given data and solve for the volume
00:26 And this is the solution to the question

Step-by-Step Solution

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 w = 5 and the height h=4 h = 4 . The diagram also indicates the horizontal length (along the base) is l=9 l = 9 .

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

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

Calculating this, we find:
9×5=45,9 \times 5 = 45,
45×4=180.45 \times 4 = 180.

Therefore, the volume of the cuboid is 180180 cubic units.

This corresponds to choice \#4: 180.

Answer

180