Question

A triangular pyramid has four faces, six edges, and four vertices. A rectangular pyramid has five faces, eight edges, and five vertices.

If the polygon base of a pyramid has 30 sides, how many vertices will the pyramid have?

A.

31

B.

32

C.

120

D. 60

Answer 1

@Vocaloid

Answer 2

for a pyramid if the base has (n) sides, then there are (n+1) vertices

therefore, since we have 30 sides how many vertices do we have?

Answer 3

would it be 31 verticles

Answer 4

good

Answer 5

alright thx

Answer 6

@Vocaloid i need help

Answer 7

If the congruent polygon bases of a prism each have 27 sides, how many vertices will the prism have?

Answer 8

euler's formula: F + V - E = 2, we want to know V

for a prism, the number of total faces = the sides of the base + 2

therefore we have (27+2) = 29 = F, now we need to know E

doing a quick sketch:

Answer 9

therefore E = (27+27+27)

therefore

F + V - E = 2

plugging in our F and E values

29 + V - (27+27+27) = 2

solve for V

Answer 10

i put in the wrong answer in anyways

Answer 11

try solving this for V

29 + V - (27+27+27) = 2

let me know if you are getting stuck

Answer 12

Jana is creating a three-dimensional object out of wood.•The object has exactly 3 rectangular faces.
•The object also has exactly 2 triangular faces.
If the object's 2 triangular faces were each a base of the object, which figure is Jana building?
A.

triangular prism

B.

rectangular prism

C.

triangular pyramid

D.

square pyramid

Answer 13

triangular prism

Answer 14

good so A is your sol'n

Answer 15

William is thinking of a three-dimensional object.•The object has two congruent circular bases.
•The object has no vertices.
Which figure best describes the object that William is thinking of?

Answer 16

a.
rectangular prism

B.

cylinder

C.

triangular prism

D.

sphere

Answer 17

cylinder

Answer 18

Sam is thinking of a three-dimensional object.•The object has 5 faces: 4 are triangular and 1 is square.
•The object has 5 vertices.
•The object has 8 edges.
Which figure best describes the object that Sam is thinking of?
A.

cube

B.

square pyramid

C.

triangular prism

D.

rectangular prism

Answer 19

shape?

Answer 20

triangular prism

Answer 21

not quite

a prism doesn't come to a point, it has 2 flat bases

look at the base of the shape then add the word "pyramid"

Answer 22

square prymaid

Answer 23

good

Answer 24

Grace is creating a three-dimensional figure out of paper. If she cuts out four congruent equilateral triangles and one square, which figure can she make?

Answer 25

is she making a square pyrmiad

Answer 26

yup well done

Answer 27

okay

Answer 28

Lacey is thinking of a three-dimensional object.•The object has 6 vertices.
•The object has 9 edges.
•The object has a triangular cross-section.
Which figure best describes the object that Lacey is thinking

Answer 29

this one

Answer 30

[in all honestly I just had to look this one up]

Answer 31

Alan is building a sign to put in front of his office building. •The sign has 6 sides.
•The sign has 3 diagonals coming from each vertex.
•The sum of the sign's interior angles equals 720°.
What shape is Alan's sign?
is this a hexagon

Answer 32

yes good

Answer 33

making sure

Answer 34

Taylor is thinking of a three-dimensional object.•All interior angles are right angles.
•The object has 8 vertices.
•Only 4 of the object's 6 faces are congruent.
Which figure best describes the object that Taylor is thinking of

Answer 35

is this a cube

Answer 36

that's close but not quite, a cube has all 6 faces congruent

if we take a cube and stretch it out a bit, what do we get?

Answer 37

rectangle

Answer 38

think 3d

Answer 39

rectangle is close but what do we call a 3-d rectangular shape like this?

Answer 40

triangular prism

Answer 41

all sides are rectangular so rectangular prism not triangular prism

Answer 42

square pyrimad

Answer 43

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
all sides are rectangular so ***rectangular prism*** not triangular prism
\(\color{#0cbb34}{\text{End of Quote}}\)
rectangular prism is your sol'n

Answer 44

oh i feel stupid

Answer 45

Which of the following geometric solids has one circular face and one vertex?
A.

spherical polyhedron

B.

cylinder

C.

sphere

D.

cone

Answer 46

@Vocaloid

Answer 47

cone

Answer 48

good

Answer 49

k

Answer 50

Mick was given a set of stickers. •Each sticker has 6 sides.
•Each sticker can have 3 diagonals coming from each vertex.
•The sum of the stickers' interior angles equals 720°.
What is the shape of each of his stickers?

is this a hexagon

Answer 51

@Vocaloid

Answer 52

yes

Answer 53

yay i finally get this i think

Answer 54

A triangular prism has five faces, nine edges, and six vertices.

A rectangular prism has six faces, twelve edges, and eight vertices.

If the congruent polygon bases of a prism each have 22 sides, how many vertices will the prism have?

Answer 55

shortcut method: for a prism with 2 equal bases,

# of vertices = 2 * number of sides on each base

Answer 56

Robert received a new stencil to help him draw. •The stencil has 5 sides.
•The stencil can have 2 diagonals coming from each vertex.
•The sum of the stencil's interior angles equals 540°.
What is the shape of his new stencil?

Answer 57

is this a penatagon

Answer 58

yes

Answer 59

In the figure above, FG II KJ. If FH = 40, HJ = 30, and FG = 32, what is the length of KJ?

Answer 60

@Hero

Answer 61

Where's "the figure above"?

Answer 62

P, Q, and S are collinear and the measure of <PQR = 120°. What does the measure of <PQT have to equal to ensure that R, Q, and T are collinear?

Answer 63

i need help wth this one @Hero

Answer 64

Okay what kind of figure is \(\overline{RT}\)

Answer 65

a line segment

Answer 66

Right, and a line segment is a part of what kind of figure?

Answer 67

can u just tell me how to figure it out

Answer 68

idk

Answer 69

I am, one step at a time.

Answer 70

okay

Answer 71

A line segment is a finite portion of a line.

Answer 72

okay

Answer 73

A straight line in this case. How many degrees does a straight line measure?

Answer 74

180

Answer 75

Very good. Which means that \(m\angle{PQT} + m\angle{PQR}\) equals how many degrees?

Answer 76

360

Answer 77

Could you draw an arc between both angles?

Answer 78

i don't need help anymore that one doesn't count