Finding Dimensions of a Cuboid

This video tutorial explains how to find a missing dimension of a cuboid when its volume is given. The process involves understanding the formula for the volume of a cuboid, which is the product of its length, width, and breadth. The tutorial demonstrates how to set up an equation using the given volume and solve for the missing dimension by simplifying the equation. The final step involves dividing to find the missing length, ensuring the calculated dimensions multiply to the given volume.

What is the main topic of this video tutorial?

• Determining the perimeter of a rectangle

• Finding a missing dimension of a cuboid given its volume

• Calculating the volume of a sphere

• Finding the surface area of a cuboid

What is the formula for finding the volume of a cuboid?

• Length × Width

• 2 × (Length + Width + Height)

• Length × Width × Height

• Length + Width + Height

In the given problem, what is the known volume of the cuboid?

• 200 cm³

• 140 cm³

• 180 cm³

• 160 cm³

Which equation represents the setup for finding the missing dimension x?

• x + 5 × 4 = 160

• x × 5 = 160

• x × 5 × 4 = 160

• x + 5 + 4 = 160

What is the result of simplifying the equation 5 × 4?

• 10

• 15

• 25

• 20

After simplifying, what equation do we get for 20x?

• 20x = 200

• 20x = 180

• 20x = 160

• 20x = 140

How do you isolate x in the equation 20x = 160?

• Subtract 20 from both sides

• Divide both sides by 20

• Add 20 to both sides

• Multiply both sides by 20

What is the value of x after solving the equation?

• 8

• 6

• 7

• 9

What is the final step to verify the solution?

• Check if x + 5 + 4 equals 160

• Check if x × 5 × 4 equals 160

• Check if x + 5 equals 160

• Check if x × 5 equals 160

What is the product of 8, 5, and 4?

• 150

• 180

• 160

• 170