Volume of Pyramids and Formulas

The video tutorial explains how to find the volume of rectangular pyramids using two different formulas. It covers the formula provided in the formula chart and a simpler method involving length, width, and height. The tutorial includes practical examples and a word problem to demonstrate the calculations, emphasizing the importance of dividing by three to account for the pyramid's shape.

What are the two formulas mentioned for finding the volume of a rectangular pyramid?

• Area of base times height divided by three and length times width times height divided by three

• Length times width times height divided by two and area of base times height divided by two

• Length times width times height and area of base times height

• Area of base times height and length times width times height

What does the formula chart suggest for calculating the volume of a rectangular pyramid?

• Length times width times height

• Length times width times height divided by two

• Area of the base times height divided by three

• Area of the base times height

Why is the easier formula for volume calculation considered helpful?

• It eliminates the need to calculate the area of the base separately

• It requires fewer steps

• It is more accurate

• It uses simpler numbers

In the first example, what are the dimensions of the pyramid used?

• Length: 12, Width: 12, Height: 18

• Length: 10, Width: 10, Height: 15

• Length: 14, Width: 14, Height: 20

• Length: 8, Width: 8, Height: 12

What is the volume of the first pyramid calculated in the example?

• 864 cm³

• 720 cm³

• 1080 cm³

• 960 cm³

What is the trick mentioned to simplify calculations?

• Subtract a number before multiplying

• Add all numbers first and then divide

• Multiply all numbers first and then divide

• Divide a number by three before multiplying

In the second example, what is the volume of the pyramid calculated using the trick?

• 120 ft³

• 108 ft³

• 96 ft³

• 132 ft³

What is the base measurement of the square pyramid in the word problem?

• 7 inches on each side

• 6 inches on each side

• 5 inches on each side

• 8 inches on each side

What is the final volume of the square pyramid in the word problem?

• 147 inches³

• 154 inches³

• 135 inches³

• 162 inches³