Pythagorean Theorem Applications

The video tutorial discusses a problem of fitting a 1.7-meter fishing rod on a bus that only allows objects up to 1 meter. The teacher introduces Pythagoras Theorem to solve this problem by considering a cube with 1-meter sides. By calculating the diagonal of the cube's base and then the diagonal from the base to the top, the teacher demonstrates how the fishing rod can fit within the cube, using the theorem to find the necessary lengths. The solution shows that the rod can fit with a few centimeters to spare.

What is the main problem discussed in the video?

• Calculating the volume of a cube

• Measuring the height of a building

• Finding the area of a square

• Fitting a 1.7-meter fishing rod into a bus with a 1-meter limit

What is the maximum length allowed on the bus?

• 0.5 meters

• 1 meter

• 1.7 meters

• 2 meters

How is Pythagoras Theorem relevant to the problem?

• It calculates the area of a square

• It measures the volume of a cube

• It helps calculate the diagonal of a cube

• It determines the weight of an object

What shape is used to demonstrate the application of Pythagoras Theorem?

• Cylinder

• Cube

• Sphere

• Pyramid

What is the length of the diagonal on the base of the cube?

• 1 meter

• 1.41 meters

• 2 meters

• 1.73 meters

What is the approximate value of the square root of 2 used in the calculations?

• 2

• 1.41

• 1.73

• 1.5

What is the calculated length of the diagonal from the bottom to the top of the cube?

• 2 meters

• 1.41 meters

• 1 meter

• 1.73 meters

What is the final length of the diagonal that allows the fishing rod to fit?

• 1.5 meters

• 1.41 meters

• 1.73 meters

• 2 meters

How much space is left after fitting the fishing rod?

• 5 centimeters

• 3 centimeters

• 10 centimeters

• 1 centimeter

What is the approximate value of the square root of 3 used in the final calculation?

• 1.5

• 1.41

• 1.73

• 2