Volume Calculation Techniques for Prisms

The video tutorial explains how to calculate the volume of composite prisms using different methods. It covers dividing prisms into smaller chunks, using a single base area, and applying the trapezoidal formula. The tutorial emphasizes understanding the geometry of prisms and offers various approaches to find the volume efficiently.

What is a composite prism?

• A prism made of a single piece

• A prism made of multiple smaller prisms

• A prism with a circular base

• A prism with a triangular base

Which of the following is a method to calculate the volume of composite prisms?

• Using the Pythagorean theorem

• Using the quadratic formula

• Finding the perimeter and multiplying by height

• Calculating the area of the base and multiplying by height

What is the stacking principle in the context of prisms?

• Finding the perimeter of the base and multiplying by height

• Finding the area of the base and multiplying by height

• Finding the volume of each piece separately

• Finding the surface area of the prism

How can you calculate the volume of a composite prism using the stacking principle?

• By finding the area of the base and multiplying by the height

• By adding the volumes of individual pieces

• By subtracting the volume of the hole from the total volume

• By using the Pythagorean theorem

In the example calculation, what is the first step to find the volume?

• Calculate the perimeter of the base

• Divide the prism into two regions

• Find the height of the prism

• Subtract the volume of the hole

What is the total area of the base in the example calculation?

• 90

• 65

• 25

• 40

What is the final volume obtained in the example calculation?

• 360 cm³

• 390 cm³

• 400 cm³

• 350 cm³

What is an alternative method to calculate the volume of composite prisms?

• Finding the surface area

• Using the trapezoidal formula

• Adding the volumes of individual pieces

• Using the quadratic formula

How can you find the volume using a big rectangle approach?

• By finding the perimeter of the rectangle

• By subtracting the area of the hole from the total area

• By multiplying the perimeter by the height

• By adding the areas of individual pieces

What is the total volume obtained using the alternative method?

• 1000 cm³

• 900 cm³

• 1100 cm³

• 950 cm³