Calculate Cuboid Volume: Finding Space in an 8×5×12 Rectangular Prism

Question

Look at the cuboid below:

What is the volume of the cuboid?

00:00 Calculate the volume of the box

00:03 We'll use the formula for calculating box volume

00:07 Width multiplied by Height multiplied by Length

00:12 Substitute appropriate values into the formula according to the given data and solve for the volume

00:46 Here is the solution

To determine the volume of a cuboid, we apply the formula:

Step 1: Identify the dimensions of the cuboid:
- Length ( $l$ ) = 12 cm
- Width ( $w$ ) = 8 cm
- Height ( $h$ ) = 5 cm
Step 2: Apply the volume formula for a cuboid:

The formula to find the volume ( $V$ ) of a cuboid is:

$V = l \times w \times h$

Step 3: Substitute the given dimensions into the formula and calculate: $V = 12 \times 8 \times 5$

Step 4: Perform the multiplication in stages for clarity:

First, calculate $12 \times 8 = 96$

Then multiply the result by 5: $96 \times 5 = 480$

Therefore, the volume of the cuboid is $\mathbf{480 \, \text{cm}^3}$ .

480 cm³