How to Find the Volume of a Prism

The video tutorial explains how to find the volume of prisms, emphasizing the difference between volume and surface area. It covers the formula for calculating the volume of various prisms, including rectangular and triangular prisms, and extends to composite solids. The tutorial includes practical examples and a real-world application involving popcorn boxes to illustrate the concepts. Students are encouraged to understand the capacity of a prism's interior and the material needed for its surface.

What is the primary difference between volume and surface area?

• Volume measures the exterior of a shape, while surface area measures the interior.

• Volume and surface area are the same for all shapes.

• Volume is measured in square units, while surface area is in cubic units.

• Volume measures the interior capacity, while surface area measures the exterior surface.

Which formula is used to calculate the volume of a prism?

• Base area divided by height

• Base area multiplied by height

• Base area minus height

• Base area plus height

In the example of a rectangular prism, what is the volume if the base is 6 by 8 and the height is 15?

• 720 cubic units

• 480 cubic units

• 360 cubic units

• 960 cubic units

How do you calculate the volume of a triangular prism?

• Base plus height

• Base minus height

• One half base times height of the triangle times the height of the prism

• Base times height

What is the volume of a triangular prism with a base of 3 by 5 and a height of 12?

• 60 cubic millimeters

• 90 cubic millimeters

• 180 cubic millimeters

• 120 cubic millimeters

What is a composite solid?

• A solid with no surface area

• A solid with no volume

• A solid made of multiple prisms

• A solid made of a single prism

How do you find the volume of a composite solid?

• By dividing the volumes of individual prisms

• By multiplying the volumes of individual prisms

• By adding the volumes of individual prisms

• By subtracting the volumes of individual prisms

In the popcorn box example, which shape holds more popcorn?

• Both hold the same amount

• Rectangular prism

• Triangular prism

• Neither holds any popcorn

What is the volume of the rectangular popcorn box with a base of 6.5 by 23.5 and a height of 32?

• 5,000 cubic centimeters

• 3,500 cubic centimeters

• 4,888 cubic centimeters

• 4,000 cubic centimeters

What is the volume of the triangular popcorn box with a base of 10.5, height of 8, and prism height of 41.5?

• 1,200 cubic centimeters

• 1,743 cubic centimeters

• 2,000 cubic centimeters

• 1,500 cubic centimeters