Unit 9 - Surface Area Flashcards
(27 cards)
Formula for triangle
1/2 (b x h)
Formula for Rectangle
(b)(h)
Formula for square
Side squared
Formula for trapezoid
[1/2(b1 + b2)] h
Definition of Polyhedron
A polyhedron is a three dimensional figure whose surfaces are polygons
Euler’s Formula:
The number of faces (F), vertices (V), and edges (E) of a polyhedron are related by the formula:
F = V = E + 2
What is the height of the prism
Height is the distance between the bases
Definition of prism
A prism is a polyhedron in which two of the faces, called the bases of the prism, are congruent polygons in parallel planes
What is the name of the prism determined by:
Its base
Name of a prism with a triangle base
Triangular prism
Name of a prism with a rectangle base
Rectangular prism
Name of a prism with a Pentagon base
Pentagonal prism
Definition of lateral sides
The surfaces between the bases
Definition of lateral edges
the common edges of the lateral sides
Definition of altitude
The line segment perpendicular to each base, with endpoints on the bases
How do you know how many lateral sides there are
By how many sides the base has
What is a Cylinder
A Cylinder has two congruent parallel bases. The bases of a cylinder are circles.
What is the altitude of a cylinder
An altitude of a cylinder is a perpendicular segment that joins the planes of the bases. The height of a cylinder is the length of an altitude
How can we find the surface area of a cylinder
SA = CA + 2B[2(πr²)
or
SA = 2πrh + 2πr
What is a Pyramid
A pyramid is a polyhedron in which one face, the base, can be any polygon and the other faces, the lateral faces, are triangles
that meet at a common vertex, called the vertex of the pyramid.
● A regular pyramid is a pyramid whose base is a regular polygon and
whose lateral faces are congruent isosceles triangles. The
slant height , l, is the length of the altitude of a lateral face of the pyramid.
How do you name a pyramid
You can name a pyramid by the shape of its base. The altitude
of a pyramid is the perpendicular segment from the vertex to the plane of the base. The length of the
altitude is the height, h, of the pyramid.
Formula for pyramid
LA = 1/2pl
SA = 1/2pl + B
p = perimeter of the base
l = slant height
B = area of the base
What is a cone
A cone is “pointed” like a pyramid, but its base is a circle. In a right
cone, the altitude is a perpendicular segment from the vertex to the
center of the base. The height, h, is the length of the altitude. The
slant height, l, is the distance from the vertex to a point on the edge of the base.
What are the equations of a Cone
LA = πrl
SA = πrl + πr²
