Square Root and Cube Root Equations

x = 3

27 = x³

9.9

A square field has an area of 98.01 square meters. Find the length of each side of the field.

12

An artist makes a cube-shaped sculpture. The area of one face of the sculpture is 144 square inches, and the volume of the sculpture is 1,728 cubic inches. Find the length of an edge of the sculpture.

x = 50

Find side length (x) of a cube with volume 125,000 in³

x = 8

Find side length (x) of a cube with volume 512 in³

x = 10

Find side length (x) of a square with area 100 in²

x = 12

Find side length (x) of a square with area 144 in²

4,704

If a cubical block contains 21,952 cubic inches, how many square feet of paper will be required to cover the entire surface?

119

Mark wants to fence in his square backyard. He measures his backyard to be 875 square feet. Fencing is sold by the foot, how many feet of fencing will Mark need?

26

Mr. Mason was hired by Mrs. Green to tile her square-shaped bathroom. Mr. Mason is laying 676 square feet of tile. What is the length of one side of Mrs. Green's bathroom?

13.5

Theresa wants to put a piece of carpet on the floor of her living room. The floor is a square with an area of 182.25 square feet. How long should the piece of carpet be on each side?

x = -10

x = -√100

x = -9

x = -√81

no solution

x² = -121

x = ±10

x² = 100

x = ±11

x² = 121

x = ±2

x² = 4

x = ±3

x² = 9

x = -4

x³ = -64

x = -2

x³ = -8

x = 4

x³ = 64

x = 2

x³ = 8

x = ±13

√169