Estimating Lengths and Distances

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.

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

• 5

• 5.5

• 4

• 4.5

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

• 2

• 3

• 3.5

• 2.5

In the race scenario, who travels a shorter distance?

• May on the sidewalk

• Tyler across the field

• Both travel the same distance

• Cannot be determined

How long does it take May to complete the race?

• 24 seconds

• 22 seconds

• 26 seconds

• 20 seconds

Which rectangular prism has a longer diagonal?

• Both have the same diagonal

• Prism K

• Cannot be determined

• Prism L

What is the diagonal length of a prism with sides 5, 5, and 5?

• √50

• √75

• √100

• √77

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

• Estimating square roots

• Calculating areas

• Solving right triangle problems

• Finding volumes

How long should the brace be to secure the door in the zombie-proofing problem?

• √16

• √20

• √25

• √30

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

• The diagonal of the tray is too long

• The tray is too heavy

• The tray is too long

• The tray is too wide

In the jump rope problem, how many times does Noah jump in two minutes?

• 200

• 160

• 80

• 120