8.EE.A.2 Square and Cube Roots to Solve Problems

Perfect Squares

100

sqrt25

+-5

200

sqrt121

+-11

300

sqrt144

+-12

400

sqrt361

+-19

500

sqrt529

+-23

Perfect Cubes

100

root(3)8

2

200

root(3)64

4

300

root(3)216

6

400

root(3)-729

-9

500

root(3)0.008

0.2

Use Square Roots to Solve Problems

100

x²=100

x=+-10

200

a²=196

x=+-14

300

c²=400

c=+-20

400

x^2=25/196

+-5/14

500

a^2=0.36/0.81

a=+-2/3

Use Cube Roots to Solve Problems

100

x³=1

x=1

200

y³=125

y=5

300

m³=343

m=7

400

x^3=27/343

x=3/7

500

y^3=0.64/0.729

y=4/9

Mystery

100

You have a square blanket that has an area of 1600 in².  What is the length of one side of the blanket

40 inches

200

Jayden has a cube shaped storage chest. If the entire chest has a volume of 1000 cm³, what is the edge length for the chest?

10 cm

300

Erin Williams has a famous square painting of her cat Fido.  The equation

P^2=16A

represents the perimeter, P of the painting with area, A. The area the painting takes up on the art gallery wall is 4 ft².  What is the perimeter of the painting?

The perimeter is 8 feet.

400

Dexter Duby has a set of collectible dice.  The equation

P^3=8V

 represents the perimeter, P, of one face of the die with volume, V.  If his favorite yellow dice have a volume of 64 mm³, what is the perimeter of one face of the die?

The perimeter is 8 mm.

500

Solve:

a^3-23=118

a=root(3)141