Solve Equations with Squares and Cubes

Solve for x.  
x³ = 1000

• x = 8

• x = 5

• x = 10

• x = 20

Solve for x.  
x³ = 8

• x = 24

• x = 2

• x = 2 ⅔

• x = 4

Solve for x.  
x² = 64

• x = 8

• x = 32

• x = 4

• x = 128

Solve for x.  
x² = 0.81

• x = 9

• x = 0.9

• x = 0.009

• x = 0.405

Solve for g:

g³ = -512

Mathematical Equivalence

ON

Solve each equation for x:

• 9

• 3

• 6

• 12

A cube with an edge of length x has a volume of 125 cm³.  What is the length of one edge (x)?

• 25 cm

• 15 cm

• 5 cm

• 12 cm

What does the side length 𝑠 of a cubic shipping box need to be to contain 729 in³ of sand?

• 𝑠 = 9 in

• 𝑠 = 8 in

• s = 10 in

• 𝑠 = 7 in

Yesterday there where b milligrams of bacteria in a Petri dish.  Today there are b² milligrams of bacteria in the same Petri dish. If there are 400 milligrams of bacteria today, how many milligrams of bacteria where there yesterday?

• 20 milligrams

• 200 milligrams

• 1,600 milligrams

• 160,000 milligrams

An aquarium is in the shape of a cube.  It holds 144 cubic feet of water.  What is the length of one side of the aquarium?

• 72 feet

• 36 feet

• 12 feet

• 288 feet