Trigonometry Flashcards
name of 3d figures of rectangles
rectangular solids
properties of rectangular solids
I. Faces meet at right angle at each edge;
II. Three mutually perpendicular edges meet at each vertex.
elements of a cube
6 faces, 8 vertices, 12 edges
Volume of a cube formula
Volume = (side lenght)³
Total surface area of a cube formula
Total surface area = 6 * (side length)²
Space diagonal of a cube formula
Space diagonal = √3 * side
Volume of a rectangular solid formula
Volume = heightwidthdepth
Total surface area of a rectangular solid formula
Total surface area = 2 * (hw + wd + d*h)
diagonal of only one face of the solid
face diagonal
diagonal that passes through the interior of the rectangular solid
space diagonal
Space diagonal in a rectangular solid formula
Pythagorean trigonometrical theory:
(Space diagonal)² = height² + width² + depth²
Volume of a cylinder formula
πr²h
Lateral area of a cylinder formula
2πrh
Total area of a cylinder’s surface formula
2πrh + 2πr²
