Calculating Volume of Triangular Pyramids

The video tutorial explains how to find the volume of a triangular pyramid. It begins with an introduction to the structure of a triangular pyramid and the formula for calculating its volume. The tutorial then provides several examples, each demonstrating the step-by-step process of calculating the volume using different given values. It also compares the volume of a triangular pyramid to that of a triangular prism, highlighting that the pyramid's volume is one-third of the prism's volume when they share the same base area and height.

What is the formula for finding the volume of a triangular pyramid?

• V = base area * height

• V = 2/3 * base area * height

• V = 1/2 * base area * height

• V = 1/3 * base area * height

Why is it important to distinguish between the two heights in a triangular pyramid?

• To calculate the base area only

• To find the pyramid's weight

• To determine the shape's color

• To calculate the volume accurately

How do you find the area of the triangular base?

• Base plus height divided by 2

• Divide the base by the height

• Multiply the base by the height

• Base times height divided by 2

What is the volume of a triangular pyramid with a base of 7, height of the triangle 8, and pyramid height 12?

• 120 inches cubed

• 80 inches cubed

• 96 inches cubed

• 112 inches cubed

If the base area of a triangular pyramid is 96 and the height is 10, what is the volume?

• 10 centimeters cubed

• 30 centimeters cubed

• 96 centimeters cubed

• 320 centimeters cubed

For a triangular pyramid with a base area of 1 and height 3, what is the volume?

• 0.5 meters cubed

• 3 meters cubed

• 1 meter cubed

• 9 meters cubed

Given a base area of 12 and height 7, what is the volume of the pyramid?

• 7 inches cubed

• 12 inches cubed

• 84 inches cubed

• 28 inches cubed

If the volume of a triangular pyramid is 120 meters cubed and the height is 60 meters, what is the base area?

• 6 meters squared

• 120 meters squared

• 60 meters squared

• 20 meters squared

How does the volume of a triangular prism compare to that of a pyramid with the same base area and height?

• They have the same volume

• The pyramid's volume is three times larger

• The prism's volume is three times larger

• The prism's volume is half the pyramid's volume

What is the volume of a triangular pyramid if both the base area and height are 10 units?

• 33.3 units cubed

• 80 units cubed

• 30 units cubed

• 100 units cubed