Cube Roots and Volume Problems

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 of cubes and understanding cubic equations. The video concludes with homework problems and practice exercises to reinforce the concepts learned.

What is the value of B if B^3 = 8?

• 1

• 2

• 4

• 3

If C^2 = 10, which of the following is true about C?

• C is less than 3

• C is exactly 3

• C is more than 3

• C is more than 4

Which of the following is the cube root of 27?

• 5

• 4

• 2

• 3

If the volume of a cube is 64 cm^3, what is the side length of the cube?

• 5 cm

• 4 cm

• 3 cm

• 2 cm

What is the cube root of 125?

• 4

• 3

• 6

• 5

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

• 11 inches

• 8 inches

• 10 inches

• 9 inches

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

• 5

• 11

• 7

• 9

In a right triangle, if one leg is 8 and the other is 15, what is the hypotenuse?

• 20

• 17

• 18

• 19

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

• 3

• √2

• 2

• √3

If the cube root of a number is 4, what is the number?

• 128

• 64

• 32

• 16