Unit 13 Quiz Flashcards
What is Cavalieri’s principal
If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal
What is a cross section
The intersection of a solid and a plane
What is the altitude of a prism
The altitude of a prism is a perpendicular segment that joins the planes of the bases.
The height of a prism is …
The length of the altitude
Prisms should be assumed to be Right prisms as opposed to oblique prisms unless
Otherwise stated
The lateral area of a right prism is
the product of the perimeter of the base and the height of the prism.
L.A. = ph
The surface area of a prism is the ..
sum of the lateral area and the areas of the two bases
S.A. = L.A. + 2B
The lateral area of a right cylinder is …
The product of the circumference of the base and the height of the cylinder
L.A. = 2(pi)r x h
The surface area of a right cylinder is
The sum of the lateral area and the areas of the two bases
S.A. = L.A. + 2B
The volume of a prism is the
Product of the area of the base and the height of the prism
V = Bh
The volume of a cylinder is the product of the
Area of the base and the height of the cylinder
V = Bh, or V = (pi)r(squared)h
The lateral area of a pyramid is
the sum of the areas of the triangular faces
The surface area of a pyramid is the
Lateral area + the area of the base
The lateral area of a cone is
Half the product of the circumference of the base and the slant height of the cone
L.A = 1/2 x 2(pi)r x (slant height)
The surface area of a cone is
The sum of the lateral area and the are of the base
S.A. = L.A + B
