Volume and Area of Prisms and Pyramids

The video tutorial covers the concepts of surface area and volume for prisms and pyramids. It explains the formulas for calculating the volume of these shapes, emphasizing the importance of determining the base area and height. The tutorial provides detailed examples of calculating the volume of both pyramids and prisms, using Pythagorean theorem to find unknown heights when necessary. The video aims to enhance understanding of geometric principles and their application in volume calculations.

What is the formula for the volume of a prism?

• Area of the base minus the height

• Area of the base plus the height

• Area of the base times the height divided by three

• Area of the base times the height

How do you calculate the volume of a pyramid?

• Area of the base times the height

• Area of the base minus the height

• Area of the base times the height divided by three

• Area of the base plus the height

In a square-based pyramid, what is the relationship between the height and the base?

• The height is perpendicular to the base

• The height is parallel to the base

• The height is twice the base

• The height is equal to the base

What theorem is used to find the height of a square-based pyramid?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Theorem of relativity

What is the volume of a pyramid with a base area of 64 cm² and height of 9.2 cm?

• 196.43 cm³

• 200 cm³

• 150 cm³

• 196.83 cm³

What is the first step in calculating the volume of a triangular prism?

• Find the height of the base

• Find the perimeter of the base

• Find the area of the base

• Find the volume of the base

How do you find the area of a triangular base in a prism?

• Base minus height

• Base plus height

• Half times base times height

• Base times height

What is the height of a triangle if its base is 3 cm and the hypotenuse is 3 cm?

• 3 cm

• 4 cm

• 2.6 cm

• 1.5 cm

What is the volume of a triangular prism with a base area of 3.9 cm² and height of 12 cm?

• 46.8 cm³

• 50 cm³

• 60 cm³

• 40 cm³

What is the formula for the area of a triangle?

• Base times height

• Half times base times height

• Base plus height

• Base minus height