Chapter 12 Formulas Flashcards
How do you find the total area of a right prism?
Perimeter of the base • the height + the areas of the two bases
How do you find the lateral area of a right prism?
Perimeter of the base • the height
How do you find the lateral area of a pyramid?
(Perimeter of the base • the lateral height) /2
How do you find the total area of a pyramid?
(Perimeter of the base • the lateral height) /2 + the area of the base
How do you find the lateral area of a cylinder?
2•pie•the radius•the height
How do you find the total area of a cylinder?
2•pie•the radius•the height + the areas of the bases
How do you find the lateral area of a cone?
pie• the radius• the lateral height
How do you find the total area of a cone?
Pie • the radius • the lateral height + pie •radius squared
How do you find the lateral area of a frustum?
pie • side length (the radius of the small circle + the radius of the big circle)
How do you find the total area of a sphere?
4 • pie • radius squared
How do you find the lateral area of a hemisphere?
2 • pie • radius squared
How do you find the total area of a hemisphere?
3 • pie • radius squared
How do you find the volume of a prism?
The area of the base • the height
How do you find the volume of a rectangular prism?
The area of the base • the height
How do you find the volume of a cylinder?
Area of the base • the height
How do you find the volume of a prism or a cylinder?
The area of a cross-section parallel to the base • the height
How do you find the lateral area of a frustum?
Pie• a sidelength • (radius of the small circle + the radius of the big circle)
How do you find the volume of a pyramid?
1/3 • B(the area of the base) • h height
How do you find the volume of a cone?
1/3 • pie • radius squared • height
What does theorem 121 state?
That in a pyramid or cone, the ratio of the cross section to the area of the base is congruent to k squared ( the distance from the vertex to the cross section) / the height squared
How do you find the volume of a sphere?
4/3 • pie • radius cubed
How do you find the area of a hemisphere?
2/3 • pie • radius cubed
