Exploring Perfect Squares and Cubes: A 6th Grade Challenge

A square garden has a side length of 6 meters. What is the area of the garden in square meters?

• 36 square meters

• 18 square meters

• 12 square meters

• 24 square meters

If a cube has a volume of 27 cubic meters, what is the length of one side of the cube?

• 5 meters

• 3 meters

• 2 meters

• 4 meters

A classroom has 16 desks arranged in a perfect square. How many desks are on each side of the square?

• 6

• 5

• 3

• 4

You have a box that is a perfect cube with a volume of 64 cubic centimeters. What is the length of one edge of the box?

• 8 centimeters

• 2 centimeters

• 4 centimeters

• 6 centimeters

A square tile has an area of 49 square inches. What is the length of one side of the tile?

• 5 inches

• 10 inches

• 3 inches

• 7 inches

If you stack 8 cubes, each with a volume of 1 cubic meter, how many cubic meters do you have in total?

• 6 cubic meters

• 8 cubic meters

• 4 cubic meters

• 10 cubic meters

A perfect square number is used to represent the number of seats in a theater. If there are 36 seats, how many rows and columns are there if they are arranged in a square?

• 6 rows and 6 columns

• 8 rows and 4 columns

• 4 rows and 9 columns

• 5 rows and 7 columns

You are building a cube-shaped storage unit with a volume of 125 cubic feet. What is the length of one side of the storage unit?

• 7 feet

• 10 feet

• 3 feet

• 5 feet

A square playground has an area of 100 square meters. What is the length of one side of the playground?

• 20 meters

• 10 meters

• 15 meters

• 5 meters

If a perfect cube has a side length of 3 meters, what is its volume in cubic meters?

• 27 cubic meters

• 12 cubic meters

• 36 cubic meters

• 9 cubic meters