Volume and Fractions in Geometry

The video tutorial explains how to determine the number of 1/3 inch cubes needed to fill a given prism. It begins by calculating the volume of a single cube, followed by the volume of the prism. The tutorial then demonstrates how to divide the prism's volume by the cube's volume to find the number of cubes that fit inside. The process involves converting dimensions to improper fractions and performing multiplication and division to solve the problem.

What is the volume of a cube with a side length of 1/3 inch?

• 1/27 cubic inch

• 1 cubic inch

• 1/9 cubic inch

• 1/3 cubic inch

How do you convert 1 and 1/3 inches into an improper fraction?

• 5/3

• 4/3

• 6/3

• 3/3

What is the volume of the prism in cubic inches?

• 12/27

• 36/27

• 48/27

• 24/27

What mathematical operation helps determine how many small cubes fit into the larger prism?

• Multiplication

• Division

• Subtraction

• Addition

What happens to the 27ths when dividing the volumes to find the number of small cubes?

• They are added

• They cancel out

• They are subtracted

• They are multiplied

How many small cubes with a side length of 1/3 inch fit into the larger prism?

• 60 cubes

• 48 cubes

• 36 cubes

• 24 cubes