Exploring Surface Area and Volume of Prisms

This video tutorial covers the basics of prisms, including their definition, types, and properties. It explains how to calculate the surface area and volume of different types of prisms, such as triangular, pentagonal, and rectangular prisms. The tutorial provides step-by-step instructions for identifying bases, calculating lateral areas, and using formulas to find surface area and volume. Key concepts like altitude, lateral faces, and edges are also discussed.

What defines a prism?

• A polyhedron with all faces as rectangles

• A shape with one circular base

• A polyhedron with two congruent parallel faces

• A shape with only triangular faces

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What are the parallel faces of a prism called?

• Edges

• Bases

• Lateral faces

• Vertices

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is a right prism?

• A prism with circular bases

• A prism with bases inclined to each other

• A prism whose lateral faces are rectangles

• A prism with triangular bases

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the altitude of a prism?

• The vertical height between the bases

• The slant height of the prism

• The perimeter of the base

• The diagonal of the base

Tags

CCSS.7.G.B.6

What shape are the lateral faces of a right prism?

• Trapezoids

• Circles

• Rectangles

• Triangles

Tags

CCSS.7.G.A.3

How do you calculate the surface area of a prism?

• Lateral area plus two times the area of the base

• Add the area of the base to the lateral area

• Sum of the areas of all faces

• Multiply the area of the base by the height

Tags

CCSS.7.G.B.6

What is the lateral area of a prism?

• Area of the base

• Sum of the areas of all faces

• Sum of the areas of the lateral faces

• Product of base area and height

Tags

CCSS.7.G.B.6

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

• Length plus width

• Width times height

• Length times width

• Length times height

Tags

CCSS.7.G.B.6

What is the formula to calculate the volume of a prism?

• Two times the base area plus lateral area

• Lateral area times height

• Base area times height

• Base area plus height

Tags

CCSS.7.G.B.6

How is the volume of a triangular prism calculated?

• Base area times lateral area

• Lateral area times height

• Base area times height

• Half the base area times height

Tags

CCSS.7.G.B.6