Formulas in Three Dimensions

Question 1

What is a Polyhedron?

Answer 1

A figure formed by four or more polygons that intersect only at their edges. Prisms and pyramids are polyhedrons, but cylinders and cones are not.

Question 2

What is the formula for the Diagonal of a Right Rectangular Prism?

Answer 2

d=sqrt(l^2+w^2+h^2).

Question 3

What is an Ordered Triple?

Answer 3

A three-dimensional coordinate system that has 3 perpendicular axes: the x-axis, the y-axis, and the z-axis; written as (x,y,z).

Question 4

What is the formula for Distance in Three-Dimensions?

Answer 4

d=sqrt(((x2-x1)^2)+((y2-y1)^2)+((z2-z1)^2))

Question 5

What is the formula for Midpoint in Three-Dimensions?

Answer 5

M(((x2+x1)/2),((y2+y1)/2),((z2+z1)/2))