Calculate Cuboid Volume: 12cm Width with 40% Length and 30% Height Proportions

Given the cuboid whose width is 12 cm

Its length is equal to 40% of the width of the cuboid.

The height of the cuboid is equal to 30% of width

Calculate the volume of the cube

Video Solution

Solution Steps

00:00 Calculate the volume of the box

00:03 Width of the box according to the data

00:07 Length of the box according to the data, convert percentage to number

00:18 This is the box length

00:25 Height of the box according to the data, convert percentage to number

00:36 This is the box height

00:39 Use the formula to calculate box volume

00:42 Width times height times length

00:49 Substitute appropriate values and solve for volume

00:59 And this is the solution to the question

Step-by-Step Solution

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

Now, let's work through each step:

Step 1: Identify the given information and calculate the dimensions

We know the cuboid has a width of $w = 12$ cm. The length $l$ is stated to be 40% of this width. Thus, we calculate:
$l = 0.4 \times 12 = 4.8$ cm.

The height $h$ is 30% of the width, so:
$h = 0.3 \times 12 = 3.6$ cm.

Step 2: Apply the formula for the volume of a cuboid

The formula for the volume of a cuboid is given by $V = l \times w \times h$ .

Step 3: Calculate the volume

Now, substitute the values for $l$ , $w$ , and $h$ :
$V = 4.8 \times 12 \times 3.6 = 207.36$ cm³.

Therefore, the volume of the cuboid is $207.36$ cm³.