Perfect Squares and Cubes Word Problems

Len is baking a square cake for his friend’s wedding. When served to the guests, the cake will be cut into square pieces 1 inch on a side. The cake should be large enough so that each of the 121 guests gets one piece. How long should each side of the cake be?

• 7

• 12

• 11

• 15

Tate is planning to put a square garden with an area of 289 square feet in his back yard. What will be the length of each side of the garden?

• 17

• 16

• 15

• 13

Rosy wants a large picture window put in the living room of her new house. The window is to be square with an area of 49 square feet. How long should each side of the window be?

• 6

• 4.9

• 7

• 5

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

• 40 inches

• 4 inches

• 400 inches

• 800 inches

What number, n, cubed is equal to 64?

n³ = 64

• 4

• 2

• 8

• 262,144

∛64

• 4

• 5

• 6

• 3

∛216

• 6

• 7

• 5

• 8

∛27

• 3

• 2

• 4

• 9

∛343

• 7

• 6

• 8

• 9

∛512

• 8

• 7

• 9

• 6