Three-Dimensional Three-Dimensional FiguresFigures

2.B.1.a Identify and classify pyramids and prisms by 2.B.1.a Identify and classify pyramids and prisms by the number of edges, faces, or verticesthe number of edges, faces, or vertices2.B.1.b Identify and classify pyramids and prisms by 2.B.1.b Identify and classify pyramids and prisms by the basethe base2.B.2.a Compare a plane figure to faces of solid 2.B.2.a Compare a plane figure to faces of solid geometric figuregeometric figure

3.A.1.a Use technology tools, including software and 3.A.1.a Use technology tools, including software and hardware, from a range of teacher-selected options hardware, from a range of teacher-selected options to learn new content or reinforce skillsto learn new content or reinforce skills

Three-dimensional figures are Three-dimensional figures are notnot flat figures. They flat figures. They have length, width, and height. They are also called have length, width, and height. They are also called

solid geometric figures.solid geometric figures.

The flat surfaces of three-The flat surfaces of three-dimensional figures are called faces.dimensional figures are called faces.

The faces meet at edges.The faces meet at edges.The edges are line segments.The edges are line segments.The edges meet at vertices (plural of The edges meet at vertices (plural of

vertex).vertex).

Rectangular prismface

base

vertex

edge

A rectangular prism has 6 faces, 8 vertices, and12 edges.

cube

edge

vertex

face

A cube, just like a rectangular prism, has 6 faces (all squares), 8 vertices, and 12 edges.

Triangular prism

face

base

vertexA triangular prism has five faces. Its base is a triangle. (Notice that even when the triangular prism sits on a rectangle, the base is still a triangle.) Two of its faces are triangles; three of its faces are rectangles. It has six vertices and nine edges.

base

face

Clarification mdk12

Rectangular pyramid

face

vertex

base

A rectangular pyramid has 5 faces. Its base is a rectangle or a square and the other 4 faces are triangles. It has 8 edges and 5 vertices.

Triangular pyramid

face

base

vertex

A triangular pyramid has four faces. All faces, including its base, are triangles. It has six edgesand four vertices.

Now it’s your turn!Now it’s your turn!

What is the name of a three-What is the name of a three-dimensional figure with six square dimensional figure with six square faces?faces?

pyr

amid

cube

solid

edge

4% 0%0%

96%

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a.a. pyramidpyramid

b.b. cubecube

c.c. solidsolid

d.d. edgeedge

I am a three-dimensional figure with five faces. I am a three-dimensional figure with five faces. My base is a rectangle; my other faces are My base is a rectangle; my other faces are triangles. I have five vertices and eight edges. triangles. I have five vertices and eight edges. What am I?What am I?

rect

angle

pris

m

rect

angula

r pyr

amid

tria

ngular p

rism

tria

ngular p

yram

id

0%8%8%

83%a.a. rectangle prismrectangle prism

b.b. rectangular rectangular pyramidpyramid

c.c. triangular prismtriangular prism

d.d. triangular triangular pyramidpyramid

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How many edges does a square How many edges does a square pyramid have?pyramid have?

4 5 7 8

4%

71%

4%

21%

a.a. 44

b.b. 55

c.c. 77

d.d. 88

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How many vertices does a How many vertices does a rectangular prism have?rectangular prism have?

12 8 6 4

13%

0%8%

79%

a.a. 1212

b.b. 88

c.c. 66

d.d. 44

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Which of the following has a Which of the following has a base that is a triangle?base that is a triangle?

Tria

ngula

r pris

m

Cube

Squar

e pyr

amid

Rec

tangu

lar p

yram

id

96%

4%0%0%

a.a. Triangular prismTriangular prism

b.b. CubeCube

c.c. Square pyramidSquare pyramid

d.d. Rectangular Rectangular pyramidpyramid

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I am a three-dimensional figure with four I am a three-dimensional figure with four faces. All of my faces, including the base faces. All of my faces, including the base are triangles. What am I?are triangles. What am I?

rect

angula

r pris

m

tria

ngular p

rism

tria

ngular p

yram

id

rect

angula

r pyr

amid

0% 4%

96%

0%

a.a. rectangular rectangular prismprism

b.b. triangular prismtriangular prism

c.c. triangular triangular pyramidpyramid

d.d. rectangular rectangular pyramidpyramid

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How many faces of a cube are How many faces of a cube are squares?squares?

0% 0%

100%

0%

a.a. 22

b.b. 44

c.c. 66

d.d. 88

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Sally is going to build a table for her family Sally is going to build a table for her family room. It is in the shape of a triangular prism. room. It is in the shape of a triangular prism. What shapes will she need to build the table?What shapes will she need to build the table?

5 tr

iang

les

2 tr

iang

les

and 3

rect

...

2 tr

iang

les

and 4

rect

...

6 re

ctan

gles

4% 0%

29%

67%a.a. 5 triangles5 triangles

b.b. 2 triangles and 2 triangles and 3 rectangles3 rectangles

c.c. 2 triangles and 2 triangles and 4 rectangles4 rectangles

d.d. 6 rectangles6 rectangles

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