Surface Area and Volume of Prisms and Pyramids

Flashcards covering key concepts from lessons on surface area and volume of prisms, pyramids, and cylinders.

What are the bases of a prism?

Two identical polygons (parallel to each other).

What connects the bases of a prism?

Rectangular faces.

How is a prism named?

Shape of the base + 'Prism'.

What is the height of a prism?

Distance between the bases.

What is the surface area of a prism?

Sum of the areas of the bases and the lateral faces.

What is the formula for the surface area of a prism?

S = areas of bases + areas of lateral faces

What is the formula for the surface area of a cylinder?

S = 2πr² + 2πrh

What is a regular pyramid?

A pyramid whose base is a regular polygon.

What are the lateral faces of a regular pyramid?

Triangles.

What is the slant height of a pyramid?

Height of each triangle on a pyramid.

What is the formula for the volume of a prism?

V = Bh

What is the volume of a prism?

Area of base times height of prism.

What is the formula for the volume of a pyramid?

V = (1/3)Bh

What is the volume of a pyramid?

One-third the product of the area of the base and the height of the pyramid.

What is a cross section?

The intersection of the plane and the solid is a two-dimensional shape.