Ch. 11 Second Quiz Flashcards

1
Q

How to count faces on a solid

A

Don’t count overlapping ones twice

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2
Q

The intersection of a plane in a solid is…

A

The dark 2-d shape
Do not write down a 3-d shape

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3
Q

Euhler’s Theorem

A

Faces + Vertices = Edges + 2

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4
Q

When finding an unknown measurement while knowing the volume…

A

Multiply π out and then solve

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5
Q

Polyhedron

A

Solid bound by polygons

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6
Q

What is a convex polyhedron?

A

A polyhedron where any two points on a surface can be connected by a segment inside the polyhedron

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7
Q

Surface Area

A

Sum of area of bases + lateral faces

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8
Q

Lateral Area

A

Sum of all non-base faces in a polygon

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9
Q

Surface Area of a prism

A

2 (area of the base) + (perimeter)(height)

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10
Q

Steps to find TSA in rectangular and square prisms

A
  1. Find base (side * side)
  2. Find the perimeter
  3. Find the lateral area (perimeter)(height)
  4. Find total surface area (Base+Base+LA)
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11
Q

Steps to find TSA in triangular prisms

A
  1. Find base (1/2bh)
  2. Find the perimeter (all sides added)
  3. Find the lateral area (perimeter)(height)
  4. Find TSA (Base+Base+LA)
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12
Q

Steps to find TSA in cylinders

A
  1. Find base (πr²)
  2. FInd circumference (2πr)
  3. Find lateral area (circumference * height)
  4. Find TSA (Base+Base+LA)
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13
Q

Steps to find TSA in pyramids

A
  1. Find base (either 1/2bh or side *side)
  2. Find lateral area (Perimeter * SLANT HEIGHT)
    3, Find TSA (Base + Lateral Area)
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14
Q

Steps to find TSA in cones

A
  1. Find base (πr²)
  2. Find lateral area (π * radius * SLANT HEIGHT)
  3. Find TSA (Base+Lateral Area)
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15
Q

Volume of a cube

A

(side)³

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16
Q

Volume of a prism

A

Bh
Area of the base

17
Q

Volume of a cylinder

A

πr² * height

18
Q

Volume of a pyramid

A

1/3(Bh)

19
Q

Volume of a cone

A

1/3(Bh)

20
Q

Surface area of a sphere

A

4πr²

21
Q

Volume of a sphere

A

4πr³/3