WorksheetsPerfect Squares and Cubes Word Problems
Total questions: 20
Worksheet time: 20mins
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
∛8
2
4
1
64
∛729
9
8
7
10
∛1000
10
9
8
11
Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm2. Find the side length of the frame.
12 cm
13 cm
13 in
16 cm
A miniature portrait of George Washington is square and has an area of 169 square centimeters. How long is each side of the portrait?
16
13
14
15
James is designing a garden space. He has enough fertilizer to cover 144 square feet. He wants to make a square garden. What should be the length of each side?
11
14
12
13
Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?
12ft
121ft
11ft
13ft
The area of a square painting is 81 cm2 . What is the length of one side?
9
-9
40.5
-40.5
Determine which is perfect square?
54
36
21
43
∛125
5
4
6
7
