Exploring Volume and Surface Area of Prisms

This video tutorial by Kirk Weiler covers unit 9, lesson 1 on the volume and surface area of prisms. It begins with an introduction to three-dimensional solids, focusing on prisms. The tutorial explains how to calculate the volume of prisms using the base area and height, and how to determine the surface area by summing the areas of all faces. The lesson includes exercises on right rectangular and triangular prisms, utilizing the Pythagorean theorem for calculations. The video concludes with a summary of key concepts and encourages students to apply these methods in solving problems.

What is the formula for the volume of a prism?

• Base area - Height

• Base area + Height

• Base area / Height

• Base area * Height

What shapes make up the lateral faces of a right rectangular prism?

• Circles

• Hexagons

• Rectangles

• Triangles

How many faces does a right rectangular prism have?

• Four

• Six

• Eight

• Ten

What is required to calculate the surface area of a prism?

• Sum of the areas of all faces

• Sum of the volumes of all faces

• Product of the areas of all faces

• Difference of the areas of all faces

What theorem is used to find missing lengths in triangular prisms?

• Binomial Theorem

• Pythagorean Theorem

• Euler's Theorem

• Fermat's Last Theorem

What is the area of a triangle with a base of 4 cm and height of 3.46 cm?

• 8.00 cm²

• 5.38 cm²

• 7.46 cm²

• 6.92 cm²

How many faces does a triangular prism have?

• Four

• Seven

• Six

• Five

What is the volume of a prism with a base area of 6.92 square inches and height of 10 inches?

• 72.0 cubic inches

• 62.8 cubic inches

• 69.2 cubic inches

• 65.5 cubic inches

What is the correct formula to find the surface area of a prism?

• Add the area of all faces

• Multiply the area of all faces

• Subtract the area of all faces

• Add the volume of all faces

What type of triangles form the bases of the prism discussed in the final example?

• Isosceles

• Equilateral

• Acute

• Scalene