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GRE > 3D Geometry > Flashcards

3D Geometry Flashcards

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1
Q

How many faces are there in every rectangular solid?

A

6

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2
Q

What can the faces on a rectangular solid be measured in terms of?

A

area

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3
Q

When calculating the surface area of a rectangular solid, what do you want to find?

A

The sum of the area of the 6 faces

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4
Q

Vertices

A

The corners of the rectangular solid

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5
Q

Vertex

A

Corners of rectangular solid

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6
Q

One Demensional side is called what ?

A

An edge

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7
Q

How many vertices are there in a rectangular solid?

A

8 vertices

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8
Q

One dimensional side is what?

A

An edge

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9
Q

How many edges are there in a rectangular solid?

A

12 edges

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10
Q

What is surface area?

A

Surface area is the exterior area in two dimensions

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11
Q

What is volume?

A

How much space an object takes up in 3 dimensions

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12
Q

How do you calculate volume?

A

Take the 3 different edge lengths and multiply them together

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13
Q

How do you calculate surface area?

A

The length of all of the edges

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14
Q

How many dimensions of a rectangular solid are there?

A

3

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15
Q

What does volume = for a rectangular solid?

A

Volume = length * width * height

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16
Q

What is the first step in calculating the volume of a cylinder?

A

Calculate the area of the circle at the base

17
Q

What is the volume formula for a cylinder ?

A

Volume = pi r ^2 * height

18
Q

What a sign to use a volume formula?

A

When you see a tank of water or a cylindrical tank, etc.

19
Q

What is 3 sqrt 2 x 3 sqrt 2 ?

A

= 18

20
Q

How many faces are there in a square solid?

A

6

21
Q

If you know the area of a square inside a cylinder you can multiply the area of the square by what ? to know how big a square would be to fit in the cylinder

A

Multiply the area of the square by the number of faces which is always 6! so the answer would be 6 * the area of the square for how big a cube is inside a cylinder

22
Q

What is the formula for the volume of a cube?

A

Volume of cube = s ^ 3

23
Q

What is the formula for the surface area of a cube?

A

Surface area of a cube = 6 s^2

24
Q

What is the formula for the volume of a rectangular solid?

A

Volume = length x width x height

25
Q

To find the greatest distance between any two vertices of a rectangular solid what formula do you use?

A

super Pythagorean theorem

26
Q

The formula for the volume of a right circular cylinder is ?

A

V = pi r ^2 x height

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