Calculating Volume of Rectangular Prisms with Fractional Edges

The video tutorial explains how to calculate the volume of a structure composed of 12 cubes, each with an edge length of 1/2 inch. The structure is a rectangular prism, and the volume is calculated by multiplying its length, width, and height. An alternative method involves calculating the volume of a single cube and multiplying by 12. The tutorial demonstrates both methods, simplifying fractions and converting improper fractions to mixed numbers.

How many cubes make up the structure?

• 14 cubes

• 8 cubes

• 12 cubes

• 10 cubes

What is the edge length of each cube in inches?

• 1 inch

• 3/4 inch

• 1/4 inch

• 1/2 inch

What is the first step in calculating the volume of the structure?

• Identifying the structure as a rectangular prism

• Calculating the volume of an individual cube

• Multiplying the number of cubes by their individual volume

• Measuring the edge length of a cube

How do you calculate the volume of a rectangular prism?

• Width x Height

• Length x Width x Height

• Length + Width + Height

• Length x Width

What is the volume of the structure in cubic inches?

• 2 and 1/2 cubic inches

• 1 and 1/2 cubic inches

• 2 cubic inches

• 1 cubic inch

What fraction represents the height of the structure in inches?

• Four halves

• Three halves

• Two halves

• One half

How is the volume of an individual cube calculated?

• Raising the edge length to the third power

• Multiplying the edge length by 3

• Dividing the edge length by 3

• Adding the edge length three times

What is the volume of an individual cube in cubic units?

• 1/8 of a cubic unit

• 1/4 of a cubic unit

• 1/2 of a cubic unit

• 1 cubic unit

What is the simplified form of the volume when calculated using individual cubes?

• 1 cubic inch

• 3/4 cubic inches

• 2 cubic inches

• 1 and 1/2 cubic inches

How many times is the volume of an individual cube multiplied to find the total volume?

• 10 times

• 8 times

• 14 times

• 12 times