Volume Calculations and Cube Fitting

This video tutorial covers the concept of volume, including how to calculate it using different methods. It begins with an introduction to volume and its basic formula, followed by a detailed explanation of two methods for calculating volume. The tutorial also explores volume calculations with fractional edges and concludes with advanced problem-solving exercises. Throughout the video, the instructor demonstrates how to apply these methods to various problems, emphasizing the importance of understanding both the formula and the methods for accurate calculations.

What is the formula for calculating the volume of a rectangular prism?

• Length + Width + Height

• Width × Height

• Length × Width × Height

• Length × Width

If a rectangular prism has a base area of 40 square inches and is 6 inches high, how many 1-inch cubes can fit inside?

• 480

• 60

• 120

• 240

How many 1/2-inch cubes can fit into a box with dimensions 10 × 4 × 6 inches?

• 2,400

• 960

• 1,920

• 480

What is the volume of a single 1/2-inch cube?

• 1/4 cubic inch

• 1/2 cubic inch

• 1/8 cubic inch

• 1/16 cubic inch

How many 1/4-inch cubes are needed to fill a space that can hold 5.625 cubic inches of 1-inch cubes?

• 180

• 360

• 540

• 720

What is the volume of a single 1/4-inch cube?

• 1/8 cubic inch

• 1/64 cubic inch

• 1/32 cubic inch

• 1/16 cubic inch

How many 1/3-inch cubes can fit into a space that holds 56 cubic inches of 1-inch cubes?

• 1,200

• 1,344

• 1,728

• 1,512

What is the volume of a single 1/3-inch cube?

• 1/9 cubic inch

• 1/12 cubic inch

• 1/27 cubic inch

• 1/18 cubic inch

If the volume of a rectangular prism is 34.227399 cubic inches, and the length is 2.4 inches and the height is 3.1 inches, what is the width?

• 4.2 inches

• 3.8 inches

• 5.2 inches

• 4.6 inches

What operation would you use to isolate the width in the equation for volume?

• Addition

• Subtraction

• Multiplication

• Division