Chapter 12 Formulas Flashcards

0
Q

How do you find the total area of a right prism?

A

Perimeter of the base • the height + the areas of the two bases

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1
Q

How do you find the lateral area of a right prism?

A

Perimeter of the base • the height

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2
Q

How do you find the lateral area of a pyramid?

A

(Perimeter of the base • the lateral height) /2

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3
Q

How do you find the total area of a pyramid?

A

(Perimeter of the base • the lateral height) /2 + the area of the base

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4
Q

How do you find the lateral area of a cylinder?

A

2•pie•the radius•the height

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5
Q

How do you find the total area of a cylinder?

A

2•pie•the radius•the height + the areas of the bases

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6
Q

How do you find the lateral area of a cone?

A

pie• the radius• the lateral height

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7
Q

How do you find the total area of a cone?

A

Pie • the radius • the lateral height + pie •radius squared

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8
Q

How do you find the lateral area of a frustum?

A

pie • side length (the radius of the small circle + the radius of the big circle)

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9
Q

How do you find the total area of a sphere?

A

4 • pie • radius squared

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10
Q

How do you find the lateral area of a hemisphere?

A

2 • pie • radius squared

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11
Q

How do you find the total area of a hemisphere?

A

3 • pie • radius squared

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12
Q

How do you find the volume of a prism?

A

The area of the base • the height

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13
Q

How do you find the volume of a rectangular prism?

A

The area of the base • the height

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14
Q

How do you find the volume of a cylinder?

A

Area of the base • the height

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15
Q

How do you find the volume of a prism or a cylinder?

A

The area of a cross-section parallel to the base • the height

16
Q

How do you find the lateral area of a frustum?

A

Pie• a sidelength • (radius of the small circle + the radius of the big circle)

17
Q

How do you find the volume of a pyramid?

A

1/3 • B(the area of the base) • h height

18
Q

How do you find the volume of a cone?

A

1/3 • pie • radius squared • height

19
Q

What does theorem 121 state?

A

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

20
Q

How do you find the volume of a sphere?

A

4/3 • pie • radius cubed

21
Q

How do you find the area of a hemisphere?

A

2/3 • pie • radius cubed