Determining the volume of rectangular pyramid

The video tutorial explains how to calculate the volume of a pyramid. It begins by introducing the formula for pyramid volume, which is one-third of the base area times the height. The tutorial then demonstrates how to calculate the base area, specifically for a rectangular base, and discusses the importance of using the figure height rather than the slant height for volume calculations. The Pythagorean theorem is applied to find the figure height when given the slant height. The video also covers simplifying radicals in the context of these calculations. Finally, the tutorial concludes with the complete calculation of the pyramid's volume, emphasizing the importance of understanding each step in the process.

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

• Base area times height

• 1/3 of base area times height

• 1/2 of base area times height

• Base area plus height

When calculating the volume of a pyramid, which height should be used?

• Diagonal height

• Base height

• Figure height

• Slant height

How can you find the actual height of a pyramid if you know the slant height and half the base length?

• Multiply the slant height by the base length

• Apply the Pythagorean theorem

• Use the area formula

• Divide the slant height by the base length

What is the simplified form of the expression 6 sqrt 2?

• 12

• 3 times the square root of 4

• 6 times the square root of 2

• Square root of 12

What is the final volume of the pyramid in the example, rounded to the nearest tenth?

• 226.3 inches cubed

• 200.0 inches cubed

• 250.7 inches cubed

• 180.5 inches cubed