Volume of Composite Figures and Pyramids

The video tutorial covers the calculation of volumes for pyramids and cones, emphasizing the formula of one-third the base area times the height. It provides examples of calculating the volume of a square pyramid and a pyramid with a triangular base. The tutorial also demonstrates how to find the volume of a complex figure by dividing it into simpler shapes. The instructor encourages students to practice and consult their teachers for visual aids.

What is the formula for calculating the volume of a pyramid or cone?

• Base area plus height

• Half of the base area times the height

• One-third of the base area times the height

• Base area times height

How do you calculate the base area of a cone?

• Base area divided by height

• Pi times radius squared

• One-third of the base area

• Length times width

What is the base shape of a pyramid if its volume is calculated using length times width?

• Square or rectangle

• Triangle

• Hexagon

• Circle

In the example of a square pyramid, what is the volume if the base is 8x8 and the height is 12?

• 64 cubic meters

• 256 cubic meters

• 512 cubic meters

• 128 cubic meters

What is the simplified volume of a pyramid with a triangular base of area 40 and height 9?

• 40 cubic meters

• 120 cubic meters

• 360 cubic meters

• 80 cubic meters

How do you calculate the base area of a triangle?

• Base divided by height

• Base times height

• One-half of base times height

• Base plus height

What is the volume of a pyramid with a triangular base area of 6 and height of 7?

• 7 cubic inches

• 21 cubic inches

• 42 cubic inches

• 14 cubic inches

How can you find the volume of a composite figure?

• By multiplying the volumes of its component shapes

• By dividing the volumes of its component shapes

• By adding the volumes of its component shapes

• By subtracting the volumes of its component shapes

What is the volume of a rectangular prism with dimensions 5x8x4?

• 320 cubic centimeters

• 200 cubic centimeters

• 80 cubic centimeters

• 160 cubic centimeters

What is the total volume of a composite figure made of a rectangular prism and a triangular prism with volumes 160 and 40 respectively?

• 320 cubic centimeters

• 40 cubic centimeters

• 160 cubic centimeters

• 200 cubic centimeters