Calculate Cuboid Volume: Square Base with 24cm Perimeter Challenge

Video Solution

Solution Steps

00:00 Calculate the volume of the box if possible

00:03 Square base according to the data, therefore equal sides

00:07 The perimeter of the square equals the sum of its sides

00:12 Let's substitute appropriate values and solve for side A

00:15 This is side A

00:19 Let's draw the box, we can see that we're missing the height of the box

00:26 Let's draw the box

00:30 Since we're missing the box height, we cannot calculate its volume

00:34 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's go through the steps:

Step 1: Determine the side length of the square base.
Step 2: Note that calculating the volume requires the height of the cuboid, which is not given.

Now, let's perform these steps:

Step 1: We know the perimeter of the square base is 24 cm. The formula for the perimeter of a square is:

$P = 4s$

where $s$ is the side length of the square. Thus:

$24 = 4s$

Solving for $s$ , we find:

$s = \frac{24}{4} = 6 \, \text{cm}$

Step 2: To find the volume of the cuboid, we use the formula:

$V = \text{Base Area} \times \text{Height}$

The base area $A$ is:

$A = s^2 = 6^2 = 36 \, \text{cm}^2$

However, the height $h$ of the cuboid is not provided, which is essential to calculate the volume.

Conclusion: Since the height of the cuboid is unknown, it is impossible to calculate the volume of the cuboid.

Therefore, the solution to the problem is No.