Ch. 11 Second Quiz Flashcards
How to count faces on a solid
Don’t count overlapping ones twice
The intersection of a plane in a solid is…
The dark 2-d shape
Do not write down a 3-d shape
Euhler’s Theorem
Faces + Vertices = Edges + 2
When finding an unknown measurement while knowing the volume…
Multiply π out and then solve
Polyhedron
Solid bound by polygons
What is a convex polyhedron?
A polyhedron where any two points on a surface can be connected by a segment inside the polyhedron
Surface Area
Sum of area of bases + lateral faces
Lateral Area
Sum of all non-base faces in a polygon
Surface Area of a prism
2 (area of the base) + (perimeter)(height)
Steps to find TSA in rectangular and square prisms
- Find base (side * side)
- Find the perimeter
- Find the lateral area (perimeter)(height)
- Find total surface area (Base+Base+LA)
Steps to find TSA in triangular prisms
- Find base (1/2bh)
- Find the perimeter (all sides added)
- Find the lateral area (perimeter)(height)
- Find TSA (Base+Base+LA)
Steps to find TSA in cylinders
- Find base (πr²)
- FInd circumference (2πr)
- Find lateral area (circumference * height)
- Find TSA (Base+Base+LA)
Steps to find TSA in pyramids
- Find base (either 1/2bh or side *side)
- Find lateral area (Perimeter * SLANT HEIGHT)
3, Find TSA (Base + Lateral Area)
Steps to find TSA in cones
- Find base (πr²)
- Find lateral area (π * radius * SLANT HEIGHT)
- Find TSA (Base+Lateral Area)
Volume of a cube
(side)³