Square and Cube Roots Problems

Miss Hardison introduces square root and cube root problems, focusing on word problems. She guides students through solving four problems, including calculating dimensions of a hope chest, a square pen, an isosceles triangle, and a fish tank. Students are encouraged to memorize perfect squares and cubes and apply inverse operations to solve equations.

What is the main focus of today's lesson?

• Fractions and decimals

• Multiplication and division

• Square root and cube root word problems

• Addition and subtraction

How many problems will the teacher work through with the students?

• Two

• Four

• Six

• Eight

What is the volume of the hope chest in the first problem?

• 100 feet cubed

• 125 feet cubed

• 150 feet cubed

• 175 feet cubed

What mathematical operation is used to find the side length of the cube-shaped hope chest?

• Subtraction

• Square root

• Addition

• Cube root

What is the side length of the hope chest?

• 6 feet

• 4 feet

• 5 feet

• 7 feet

What is the area of the square pen in the second problem?

• 750 square yards

• 625 square yards

• 875 square yards

• 500 square yards

What operation is used to find the side length of the square pen?

• Square root

• Cube root

• Subtraction

• Addition

What is the side length of the square pen?

• 25 yards

• 35 yards

• 20 yards

• 30 yards

What type of triangle is discussed in the third problem?

• Right

• Equilateral

• Scalene

• Isosceles

What is the cube root of 729, which is used to find the congruent sides of the triangle?

• 10

• 9

• 8

• 7