Squaring, Cubing, and Taking Roots

Meredith’s square garden is 121 sq ft. Use the formula for the area of a square. What is the length of one side of Meredith’s garden?

• 12 ft

• 11 ft

• 10 ft

• 9 ft

Meredith decides to double the length of each side of her garden. What will its new area be?

• 242 sq ft

• 363 sq ft

• 484 sq ft

• 605 sq ft

A math website gives the number of questions in its daily quiz as a square root. Today, there are √144 questions. How many questions are there?

• 10

• 11

• 12

• 13

Amanda used her calculator to find √7,788. What is this number rounded to the nearest hundredth?

• 88.24

• 88.25

• 89.24

• 89.25

The length of a cube is 29 cm. What is the volume of the cube in cubic centimeters?

• 87

• 841

• 24, 389

• 707, 281

The area of a square is 6.7 sq ft. What is the length of a side of the square to the nearest tenth of a foot?

• 2.5

• 2.6

• 2.9

• 3.4

The square root of 33 is between which two numbers?

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

The area of a square with sides of length x is x². What is the area of the square if x = 7.8 inches?

• 25.6 sq in.

• 49.00 sq in.

• 60.84 sq in.

• 62.41 sq in.

Hannah is buying a carpet for her living room, which has an area of 216 square feet and is 50% longer than it is wide. What are the dimensions of the room?

• width = 12 ft; length = 18 ft;

• width = 6 ft; length = 9 ft

• width = 12 ft; length = 12 ft

• width = 18 ft; length = 12 ft

Which set of integers solves the equation x² = 16?

• 4, -2

• 4, -4

• 2, 8

• -2, -8