Directions: Using the digits 1 through 9 at most one time each, fill in the boxes to create a rectangular prism with a volume that is greater than 100 cubic units. What’s the least volume? What’s the greatest volume? Source: Kari Frazier

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a rectangular prism with a volume that is less than 100 cubic units. What’s the least volume? What’s the greatest volume? Source: Kari Frazier

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to list the dimensions of a rectangular prism and rectangular pyramid so that both shapes have equal volumes. NOTE: Images are not drawn to scale. Source: Aaron Arispe

Directions: Using the digits 1 to 9 at most one time each, find the dimensions of three rectangular prisms so that their volumes are as close as possible. Note: diagram may not be drawn to scale. Source: Daniel Walker

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to give this cylinder the maximum volume possible. Source: Kyle Leinweber

Directions: Using the digits 1 through 9, at most one time each, place a digit in each box to create two rectangular prisms where the larger one has the greatest possible volume and is double the volume of the other. Source: Joe Schwartz and Robert Kaplinsky

Directions: Using the digits 1 through 9, at most one time each, fill in the boxes to create 2 rectangular prisms so the volume of one rectangular prism is double the volume of the other rectangular prism. Source: Joe Schwartz

Directions: What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units? Source: Robert Kaplinsky

Directions: Find at least 3 possible measures for the height and the radius of a cylinder with a lateral area of 144pi square centimeters. Which of your dimensions will give you the largest volume? Source: Jason Miller

Directions: A rectangular prism has a volume of 144 cubic units and a base of 48 square units. What could the possible dimensions be? Source: Stem Savvy Girls