Square Roots
Aniya has a square photo of Elani that is 9 square inches. How long is each side of the photo?
3 in
Juan is building a square launch pad for a rocket project. If the area of the launch pad is 36 square centimeters, what is its side length?
6 cm
Trinity is moving and has a cube shaped box with a volume of 512 cubic inches. What is the length of each side of that box?
8 inches
Elani has a cube shaped box with a volume of 27 cubic inches. Jakai says the area of each side is 9in squared. Is Jakai right?
Yes
Adrian wants to buy a square table cloth to cover a card table. The tabletop has an area of 9ft squared. What is the minimum side length of a table cloth Jaden should buy?
3 ft
Jayden's softball stadium has an area of 81 ft squared. How long is the distance from first to second base?
9 ft
Jamie has a fuzzy dice in her car. One die has a volume of 8 cubic inches. What is the length of each side of the die?
2 inches
1) Audrey is building a bird house for blue birds, which prefer cube-shaped houses. The volume of the cube is 216 inches cubed. What is the side length of each piece of wood needed for the bird house?
2) Omar is helping Audrey with her bird house. What is the area of each piece of wood needed in the bird house?
1) 6 inches
2) 36 inches squared
April has a square garden with an area of 121 feet squared. How long is each side of the garden?
11 ft
Leilani is making a chess board using pieces of wood that measure 1 square inch. When she finishes, the chessboard will have an area of 64 square inches. How many pieces of wood should be put along each side?
8 pieces
Sydney is creating a cube-shaped sculpture with a volume of 64 cubic feet. What is the length of each side?
4 feet
1) Isabel's family is moving, and they are using a large cubic crate to move their belongings. If the crate has a volume of 64 cubic feet, what is the height of the cube?
2) Amanya is helping Isabel move. She is trying to fit a large, framed painting with an area of 12 feet into the crate. Will the painting fit flat against the side of the crate?
1) 4 feet
2) Yes, the side length of the painting is 3.5 feet.
Adrian is decorating a square bulletin board at school. The area of the bulletin board is 169in squared. What is the side length of the bulletin board?
13 in
Jaden wants to build a square sand box with an area of 216 square feet. What is the side length of the sand box?
14.7 feet
Paxton says that if you cube the number 4, then take the cube root of that answer, the cube root is 21.333333333... Is he right? Where was his mistake?
No. Instead of taking the cube root of 3, he divided by 3.
Breanne is moving. She has a picture with an area of 9 square feet. The cube shaped box has a volume of 30 feet cubed. Will her picture fit in the box?
Yes, the picture has a side length of 3 feet and the box has a side length of 3.1 feet.
Maday wants to sew ribbon along each side of a square pillow. If the pillow has an area of 144 square inches, how much ribbon does she need to buy?
48 inches of ribbon
Jaycob has a square shaped garage with 228 square feet of floor space. He plans to build an addition that will increase the floor space by 50%. What will be the length, to the nearest tenth, of one side of the new garage?
18.5 feet
Mayra has a cube shaped box that measures 9 inches along each edge. Salome has 1000 one-inch cubes. Can she all of her cubes inside the box? Why or why not?
No, the volume is only 729 inches cubed. 1000 cubes would not fit.
1) Maricia's family is reflooring their kitchen. The kitchen is a cube with a volume of 6859 cubic feet. What is the length of one side of the kitchen?
2) Kelise is looking at flooring prices online and the website asked for the area of the floor. What is the area of the kitchen floor?
3) Daija works for the flooring company and said the floors will cost $10 per square foot. How much will the hardwood floors cost?
1) 19 feet
2) 361 feet squared
3) $3610