Geometry and Measurement Problems

The video covers Math 8 Unit 8 Lesson 10, focusing on applications of the Pythagorean Theorem. It begins with estimating square roots, followed by an activity involving a race across a field to apply the theorem. The lesson continues with solving a problem about rectangular prisms and concludes with homework and practice problems to reinforce the concepts learned.

Which of the following is closest to the square root of 24?

• 5

• 4.5

• 5.5

• 4

If the square root of 7 is estimated, which value is it closest to?

• 3.5

• 3

• 2.5

• 2

In the race scenario, who reaches the opposite corner first?

• Both at the same time

• Tyler

• May

• Neither

How much faster is May compared to Tyler in the race?

• 1.6 seconds

• 0.6 seconds

• 3.6 seconds

• 2.6 seconds

What is the diagonal length of a rectangular prism with dimensions 5x5x5?

• √100

• √50

• √75

• √77

Which prism has a longer diagonal, one with dimensions 5x5x5 or 6x4x5?

• Cannot be determined

• Both are equal

• 6x4x5

• 5x5x5

What is the main application of the Pythagorean theorem discussed in this lesson?

• Calculating areas

• Estimating square roots

• Solving right triangle problems

• Finding volumes

In the zombie-proof house problem, what is the estimated length of the brace?

• 3.5 feet

• 4 feet

• 5 feet

• 4.5 feet

Why can't the tray fit into the trash can opening?

• Tray is too wide

• Tray is too long

• Diagonal is too short

• All of the above

How many times larger is 12 compared to 4?

• 4 times

• 5 times

• 2 times

• 3 times