3 Dimensional Geometry Flashcards

1
Q

A 3 dimensional shape that has width, height and depth is called what?

A

Solid figure

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2
Q

A solid figure whose ends (bases) are the same shape and are parallel to one another with rectangular sides connecting them is called what?

A

Prism

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3
Q

A solid figure whose base is a polygon and whose sides are triangles that meet at the top called the apex is called what?

A

Pyramid

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4
Q

The corners of a solid figure or where the lines or edges meet on a solid figure are called what?

A

Vertices

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5
Q

Where the faces of a solid figure meet (usually line segments, but not always) are called what?

A

Edges

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6
Q

The flat surfaces (can be curved) of a solid figure are called what?

A

Faces

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7
Q

The amount of space inside a 3 dimensional figure is called what?

A

Volume

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8
Q

The sum of the area of all the faces of a 3 dimensional figure is called what?

A

Surface area

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9
Q

What is the formula for calculating the volume of a rectangular prism?

A

V = L x W x H

Where L is length
W is width
H is height

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10
Q

What is the formula for calculating the volume of a cube?

A

V = S x S x S

Where is is the measure of the side

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11
Q

What is the formula for calculating the volume of a prism?

A

V = B x H

Where B is the area of the base of the prism
H is the height of the prism (which is the distance between the bases)

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12
Q

What is the formula for calculating the surface area of a prism?

A

Surface Area = 2 x area of the base + perimeter x height

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13
Q

What is the formula for calculating the surface area of a rectangular prism?

A

Surface area of rectangular prism = 2LW + 2LH + 2WH

Where L is length
W is width
H is height

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14
Q

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

A

Surface area of a cube = 6 x S x S

Where S is the measure of a side

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15
Q

A prism whose bases or ends are circles is called what?

A

Cylinder

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16
Q

What is the formula for the volume of a cylinder?

A

V = pi x radius squared x hieght

17
Q

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

A

Surface area of a cylinder = 2 x pi x radius squared + 2 x pi x radius x height

18
Q

How do you calculate the volume of a pyramid?

A

(Area of the base x Height) divided by 3

19
Q

How do you calculate the Surface Area of a pyramid?

A

Area of the Base + (Perimeter x Slant Height) divided by 2

20
Q

How do you calculate the volume of a cone?

A

Volume = 1/3 x pi x r squared x height

21
Q

How do you calculate the surface area of a cone?

A

Surface area = pi x r squared + pi x r x slant

24
Q

How do you calculate the volume of a sphere?

A

Volume = 4/3 x pi x r cubed

25
Q

How do you calculate the surface area of a sphere?

A

Surface area = 4 pi x r squared