Exploring LT 1.5 Concepts

This video tutorial covers solving equations using square and cube roots in real-world contexts. It includes examples such as determining possible dimensions for a cube model, calculating the perimeter of a square tabletop, and solving cube root problems for a pet iguana's enclosure. The tutorial also addresses solving equations with non-perfect squares and cubes, emphasizing the importance of understanding positive and negative roots in real-world applications.

What is the volume of a cube with side length 4?

• 16

• 64

• 48

• 32

If Janine uses 151 inch blocks to build a cube, what is the maximum side length of the cube?

• 7

• 6

• 8

• 5

What is the side length of a square with an area of 25 square feet?

• 6 feet

• 3 feet

• 5 feet

• 4 feet

How much decorative molding is needed to cover the perimeter of a square tabletop with side length 5 feet?

• 15 feet

• 20 feet

• 25 feet

• 30 feet

What is the side length of a cube with a volume of 343 cubic feet?

• 6 feet

• 7 feet

• 5 feet

• 8 feet

Why can't the cube root of 343 be negative?

• Because 343 is a perfect cube

• Because cube roots are always positive

• Because negative times negative times negative is negative

• Because negative times negative times negative is positive

What is the square root of 50 in radical form?

• 10

• √50

• 5√2

• 25

What is the cube root of 37 in radical form?

• 37

• ∛37

• √37

• 3√37

What is the side length of a square with an area of 100 square meters?

• 11 meters

• 8 meters

• 9 meters

• 10 meters

How many triangles are in the brainteaser image?

• 10

• 12

• 16

• 14