Cube Roots and Volume Calculations

This video tutorial covers Math 8 Unit 8 Lesson 12, focusing on edge lengths and volumes. It begins with ordering squares and cubes by solving equations to arrange values from least to greatest. The lesson explains square and cube roots, providing examples to illustrate these concepts. It also covers calculating the volume and edge lengths of cubes. The video concludes with homework and practice problems to reinforce the concepts learned.

Which of the following values is the smallest when ordering A, B, C, D, E, and F?

• C

• F

• A

• B

If the square root of 10 is approximately 3.16, which two integers does it lie between?

• 5 and 6

• 4 and 5

• 3 and 4

• 2 and 3

What is the cube root of 27?

• 5

• 4

• 3

• 2

How do you calculate the volume of a cube with a side length of 4 cm?

• 4^2

• 4 + 4 + 4

• 4 * 4

• 4 * 4 * 4

What is the cube root of 64?

• 2

• 3

• 4

• 5

If the volume of a cube is 1,000 cubic inches, what is the side length?

• 8

• 11

• 9

• 10

Which expression is equivalent to the cube root of 216?

• 6

• 12

• 18

• 24

What is the distance between the points (5, 0) and (-4, 0)?

• 7

• 10

• 8

• 9

In a right triangle, if one leg is 8 and the other is 9, what is the hypotenuse?

• 15

• 14

• 13

• 12

What is the height of an equilateral triangle with side length 2?

• 3

• √2

• √3

• 2