Exploring 8th Grade Math: Unit 5 Review Part B

This video tutorial is the second half of the Unit 5 review for 8th graders, focusing on chapters 12 and 13. It covers the Pythagorean Theorem, its converse, and the distance formula. The tutorial also explores calculating volumes of cylinders, cones, and spheres, and concludes with a review of composite shapes. Students are encouraged to highlight areas they feel confident in or need to review, using green and pink highlights respectively.

What is the approximate length of x when rounded, if x is a missing leg in a right triangle?

• 10.7 units

• 19 units

• 6.3 units

• 8.1 units

If a triangle has sides that fit the Pythagorean theorem, what type of triangle is it?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Acute triangle

Using the Pythagorean theorem, what is the length of side BC rounded to the nearest tenth?

• 10.7 units

• 6.3 units

• 9.4 units

• 7.3 units

What is the volume of a cylinder with a radius of 8 and height calculated, rounded to the nearest tenth?

• 113 cubic centimeters

• 113.04 cubic centimeters

• 4019.2 cubic feet

• 200.96 cubic units

What formula is used to calculate the volume of a cone?

• pi r cubed divided by three

• four-thirds times pi r cubed

• one-third times pi r squared times height

• pi r squared times height

After rounding, what is the volume of the cone when the diameter is given and the radius is calculated?

• 4019.2 cubic feet

• 201.0 cubic units

• 200.96 cubic units

• 56.5 cubic units

What is the volume of a sphere using the formula 4/3 pi r cubed, if the radius is known?

• 2009.6 cubic inches

• 113.04 cubic centimeters

• 696.6 cubic inches

• 44,579.6 cubic inches

In calculating the volume of composite shapes, what is the volume of the first shape reviewed?

• 4019.2 cubic feet

• 113 cubic centimeters

• 2974.6 cubic yards

• 2009.6 cubic inches

What is the volume of a composite shape that combines different geometric figures?

• 2009.6 cubic inches

• 44,579.6 cubic inches

• 696.6 cubic inches

• 2974.6 cubic yards

What should you do if you find a section challenging or difficult to understand?

• Highlight it in green

• Ignore the section

• Skip the exercises

• Highlight it in pink and review notes