Exploring Volume of Rectangular Prisms and Pyramids

The video tutorial covers the calculation of volume for two types of 3D figures: rectangular prisms and pyramids. It explains the formula for finding the volume of a rectangular prism as the product of its length, width, and height, and introduces the concept of base area. For pyramids, the video explains that the volume is one-third of the product of the base area and height, due to the pyramid's shape being a third of a prism. The tutorial includes example problems and word problems to illustrate these concepts, emphasizing the importance of understanding the dimensions and units involved in volume calculations.

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

• Base x Height

• Length + Width + Height

• Length x Width

• Length x Width x Height

What does 'B' stand for in the volume formula of a rectangular prism?

• Breadth

• Box

• Base area

• Boundary

What is the volume of a rectangular prism if the length is 5, width is 2, and height is 4?

• 40 cubic units

• 80 cubic units

• 20 cubic units

• 10 cubic units

What unit is used for volume when the dimensions are given in feet?

• Cubic feet

• Square feet

• Feet

• Linear feet

Why is it important to label the units in volume calculations?

• To simplify calculations

• To ensure accuracy

• All of the above

• To avoid confusion with area

How is the volume of a pyramid different from that of a rectangular prism?

• It is twice the volume of a prism.

• It is one third the volume of a prism.

• It is the same as the volume of a prism.

• It is half the volume of a prism.

In the context of a pyramid, what does the height refer to?

• The slant height from the base to the apex

• The perpendicular height from the base to the apex

• The length of the base

• The total surface area

How do you calculate the volume of a pyramid with a square base of side 4 and height 9?

• 1/3 x 4 x 4 x 9

• 4 x 4 x 9

• 1/2 x 4 x 4 x 9

• 1/3 x 4 x 9

If a box is 16 inches high, 3 inches deep, and holds 576 cubic inches, what is the width of the box?

• 6 inches

• 9 inches

• 12 inches

• 3 inches

What is the correct way to express the volume of a shape in three dimensions when measured in inches?

• Square inches

• Cubic inches

• Inches cubed

• Inches