Exploring Volume Calculations of Rectangular Prisms

This video tutorial covers the concept of calculating the volume of rectangular prisms. It begins with an introduction to the essential question and key vocabulary terms related to three-dimensional figures, prisms, and volume. The instructor explains the formulas for finding volume, including length times width times height and base area times height. Several example calculations are provided, demonstrating how to apply these formulas to find the volume of different objects. The lesson concludes with word problem examples, encouraging students to practice measuring volume in real-world contexts.

What is the essential question of the lesson?

• Why is volume measured in cubic units?

• How do we calculate the area of a rectangle?

• How is shape important when measuring a figure?

• What is the formula for the volume of a sphere?

What units are used to measure the volume of a three-dimensional figure?

• Square units

• Linear units

• Quadratic units

• Cubic units

Which of the following is a three-dimensional figure?

• Square

• Triangle

• Rectangular prism

• Circle

What does the uppercase 'B' in the formula 'V = Bh' stand for?

• The base's perimeter

• The base's boundary length

• The breadth of the base

• The area of the base

Which of the following is NOT a correct formula for finding the volume of a rectangular prism?

• V = Bh

• V = lwh

• V = lw + h

• All of the above are correct

What does the 'h' in the formula 'V = Bh' represent?

• Hypotenuse

• Height

• Horizontal length

• Hemisphere

What is the first step in calculating the volume of a rectangular prism?

• Multiply the length by the width

• Divide the height by two

• Add all the sides together

• Find the area of the base

What is the volume of a cereal box with dimensions 8 inches by 3.25 inches by 12.5 inches?

• 100 cubic inches

• 325 cubic inches

• 260 cubic inches

• 412.5 cubic inches

How much water can a kitchen sink hold if its dimensions are 25.25 inches by 19.75 inches by 10 inches?

• 1975 cubic inches

• 250 cubic inches

• 5000 cubic inches

• 4986.875 cubic inches

What is the volume of a container measuring 4 inches by 5 inches by 8.5 inches?

• 20.5 cubic inches

• 85 cubic inches

• 34 cubic inches

• 170 cubic inches