Exploring Volume of Rectangular Prisms

This video tutorial covers the calculation of volume for rectangular prisms. It begins with an introduction to the concept and the formula, emphasizing the importance of understanding the area of the base (Big B) and height (H). The tutorial includes four examples: a basic rectangular prism, a prism with different base orientation, a cereal box, and a fish tank. Each example is explained step-by-step, demonstrating how to apply the formula to find the volume. The video encourages pausing and rewinding for better understanding and provides additional resources for further learning.

What does 'Big B' stand for in the volume formula of rectangular prisms?

• The boundary length of the prism

• The breadth of the prism

• The base area of the prism

• The bulk volume of the prism

Tags

CCSS.7.G.B.6

Which formula is essential for calculating the volume of rectangular prisms?

• Area of the base x Height

• Perimeter of the base x Height

• Diagonal of the base x Height

• Circumference of the base x Height

Tags

CCSS.7.G.B.6

How do you calculate the volume of a rectangular prism?

• Length / Width / Height

• Length x Width x Height

• Length - Width - Height

• Length + Width + Height

Tags

CCSS.7.G.B.6

What is the volume of the first example rectangular prism?

• 220 feet cubed

• 440 feet cubed

• 110 feet cubed

• 880 feet cubed

Tags

CCSS.7.G.B.6

In the second example, what sides were considered as the bases?

• Left and Right

• Top and Bottom

• Any parallel sides

• Front and Back

What was the volume of the rectangular prism in the second example?

• 324 meters cubed

• 36 meters cubed

• 432 meters cubed

• 108 meters cubed

Tags

CCSS.7.G.B.6

For the cereal box example, what formula variant was suggested for memorization?

• Length + Width + Height

• Base x Height

• Length x Width x Height

• Area of the base x Height

Tags

CCSS.7.G.B.6

What was the calculated volume for the cereal box?

• 210 inches cubed

• 140 inches cubed

• 175 inches cubed

• 150 inches cubed

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

In the fish tank example, what dimensions were given?

• 14 inches wide, 8 inches long, 12 inches high

• 12 inches wide, 14 inches long, 8 inches high

• 8 inches wide, 12 inches long, 14 inches high

• 14 inches wide, 12 inches long, 8 inches high

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What was the final volume calculated for the fish tank?

• 1344 inches cubed

• 1248 inches cubed

• 1440 inches cubed

• 1536 inches cubed

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2