Square Roots Basic
Nicholas has a square photo that is 9 square inches. How long is each side of the photo? WITH UNITS
3 inches
Nyra’s softball stadium has an area of 81 ft squared. How long is the distance from first to second base? WITH UNITS
9 feet
Jayden is creating a cube-shaped sculpture with a volume of 64 cubic feet. What is the length of each side?
4 feet
Lauren is moving. She has a picture with an area of 9 square feet. The cube shaped box has a volume of 64 feet cubed. Will her picture fit in the box?
Yes, the side length of the picture is 3 feet and the side length of the box is 4 feet.
List 3 words that you would see in a word problem that lets you know you are using square roots.
Squared, area, square, side length
Maria has a square garden with an area of 121 feet squared. How long is each side of the garden? WITH UNITS
11 feet
Alan is making a chess board using pieces of wood that measure 1 square inch. When he finishes, the chessboard will have an area of 64 square inches. How many pieces of wood should be put along each side?
8 pieces
Saul has a cube shaped box with a volume of 27 cubic inches. What is the edge length of the box? WITH UNITS
3 inches
Jace and Ashawnee are building a bird house for blue birds, which prefer cube-shaped houses with a volume of 512 cubic inches.
1) What is the LENGTH of each side of the bird house? WITH UNITS
2) What is the AREA of each face of the houses? WITH UNITS
1) 8 inches
2) 64 square inches
List 3 words in a word problem that let you know you are working with cube roots.
cube, cubic, volume, edge length
Addisen wants to build a square sand box with an area of 144 square feet. What is the side length of the sand box? WITH UNITS
12 feet
Ariyanna 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
5 inches.
1) Giuseppe’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? WITH UNITS
2) Bryan is helping Giuseppe move. Bryan 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? WITH UNITS
1) 4 feet
2) Yes, the area of one side of the crate is 16 square feet and the painting has an area of 12 square feet.
Saniah cubes a number, then takes the cube root of that number. The cube root of the number is 20. What number did she start with?
20
Jeremiah 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? WITH UNITS
6 cm
Damien has a square shaped closet with 64 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?
9.8 feet
Aaron has a cube shaped box that measures 9 inches along each edge. Can he fit 1000 one-inch cubes inside the box? Why or why not?
No, he can only fit 729 cubes in his box.
Jashi’s family is reflooring their kitchen. The kitchen is a cube with a volume of 6859 cubic feet. They are going to put in hardwood floors, which cost $10 per square foot. How much will the hardwood floors cost?
$3610
Christian says that if you cube the number 4 (and get 64) then take the cube root, the cube root is 21.333333333... Where was his mistake?
He divided 64 by 3 instead of finding the cube root.