Calculating Volume of Prisms

The video tutorial covers the concept of prisms, focusing on their characteristics and the calculation of their volumes. It explains the stacking principle, which is the basis for the volume formula of prisms, and provides detailed examples of calculating volumes for prisms with different base shapes, including triangles, trapezoids, and hexagons. The tutorial emphasizes the importance of understanding the base area and height in these calculations and concludes with a summary of key points.

What is a key characteristic of prisms?

• They have no bases.

• They have congruent parallel bases.

• They have circular bases.

• They have only one base.

How is volume created in a prism?

• By reducing the height.

• By stacking cross-sections.

• By increasing the base area.

• By adding more sides to the base.

What is the formula for the volume of a prism?

• Height times width.

• Base area times length.

• Base area times height.

• Base area times width.

How do you calculate the volume of a prism with a triangular base?

• Base area times width.

• Base times height squared.

• One half base times height times prism height.

• Base area times height.

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

• Find the volume of the base.

• Find the perimeter of the base.

• Find the area of one base.

• Find the height of the prism.

What does the 'stacking principle' refer to in the context of prisms?

• Stacking bases to form a new shape.

• Stacking prisms to increase height.

• Stacking identical bases to form volume.

• Stacking different shapes to form a prism.

How do you find the apothem of a hexagonal base?

• By using the 30-60-90 triangle properties.

• By measuring the height of the hexagon.

• By dividing the perimeter by six.

• By calculating the area of the hexagon.

What is the final step in calculating the volume of a prism?

• Divide the base area by the height.

• Multiply the base area by the height.

• Add the base area to the height.

• Subtract the height from the base area.