#### Study sets matching "chapter 12 area volume"

#### Study sets matching "chapter 12 area volume"

Isometric View

Cross Section

Lateral Face

Prism

A corner view of a three-dimensional object on two-dimensiona…

The intersection of a solid and a plane.

A face of a solid figure that is not a base.

A solid figure with two congruent and parallel faces (the bas…

Isometric View

A corner view of a three-dimensional object on two-dimensiona…

Cross Section

The intersection of a solid and a plane.

polyhedron

prism

lateral faces

pyramid

a solid formed by polygons that enclose a single region

special type of polyhedron, with 2 faces called bases, that a…

faces of the prism that are NOT bases

a solid figure that has a polygon base and lateral edges that…

polyhedron

a solid formed by polygons that enclose a single region

prism

special type of polyhedron, with 2 faces called bases, that a…

polyhedron

prism

lateral faces

pyramid

a solid formed by polygons that enclose a single region

special type of polyhedron, with 2 faces called bases, that a…

faces of the prism that are NOT bases

a solid figure that has a polygon base and lateral edges that…

polyhedron

a solid formed by polygons that enclose a single region

prism

special type of polyhedron, with 2 faces called bases, that a…

Bases

Center

Circle

Circumference

Compounds that reduce the concentration of hydrogen ions in a…

Center = is equal distance from all edges of a circle

A round plane figure whose boundary consists of points equidi…

Distance around a circle

Bases

Compounds that reduce the concentration of hydrogen ions in a…

Center

Center = is equal distance from all edges of a circle

Isometric View

Cross Section

Lateral Face

Prism

A corner view of a three-dimensional object on two-dimensiona…

The intersection of a solid and a plane.

A face of a solid figure that is not a base.

A solid figure with two congruent and parallel faces (the bas…

Isometric View

A corner view of a three-dimensional object on two-dimensiona…

Cross Section

The intersection of a solid and a plane.

Perimeter

Cross Section

Circumference

Lateral Area

The distance around a two dimensional shape

The intersection of a solid and a plane

Distance around a circle

The area of all the faces of your 3 dimensional figure that i…

Perimeter

The distance around a two dimensional shape

Cross Section

The intersection of a solid and a plane

Cylinder

Cone

Sphere

Pyramid

LSA=Ch=2pi(r)h... TSA=Ch + 2B=2pi(r)h + 2pi(r)^2... V=Bh=pi(r)^2…

LSA=1/2(Cl)=1/2(2pi x r x l)... TSA=1/2(Cl) + 1B=1/2(2pi x r x…

LSA=none... TSA=4pi(r)^2... V=3/4(pi x r^3)

LSA=1/2(Pl)=1/2(2pi x r x l)... TSA=1/2(Pl) + B=1/2(2pi x r x l…

Cylinder

LSA=Ch=2pi(r)h... TSA=Ch + 2B=2pi(r)h + 2pi(r)^2... V=Bh=pi(r)^2…

Cone

LSA=1/2(Cl)=1/2(2pi x r x l)... TSA=1/2(Cl) + 1B=1/2(2pi x r x…

Lateral surface area

Total surface area

Lateral area of cylinder

Total area of cylinder

Sum of areas of lateral faces

Sum of prism's lateral area + area of bases

Ch (circumference of base x height)... Or 2nrh (n=pie, r=radius…

Lateral area + 2(area of base)

Lateral surface area

Sum of areas of lateral faces

Total surface area

Sum of prism's lateral area + area of bases

lateral area of a right prism

surface area of a right prism

lateral area of a right cylinder

surface area of a right cylinder

LA=Ph (Perimeter of each base times height)

SA=L+2B (Lateral area plus the area of the base times 2)

LA=2(pi)(r)(h)

SA=2(pi)(r)(h)+2(pi)r2

lateral area of a right prism

LA=Ph (Perimeter of each base times height)

surface area of a right prism

SA=L+2B (Lateral area plus the area of the base times 2)

polyhedron

faces

edge of a polyhedron

vertex

is a solid that is bounded by polygons called faces

enclose a single region of space

a line segment formed by the intersection of two faces

a point where three or more edges meet

polyhedron

is a solid that is bounded by polygons called faces

faces

enclose a single region of space

Plane

Solids

Polyhedrons

Edge

A two dimensional flat surface that extends in all directions.

Intersecting planes can form three-dimensional figures or sol…

A three-dimensional figure with faces that are polygons.

The segment where two faces of a polyhedron intersect.

Plane

A two dimensional flat surface that extends in all directions.

Solids

Intersecting planes can form three-dimensional figures or sol…

Bases

Center of a sphere

Cone

Cross section

A prism is a three-dimensional figure with two parallel and c…

A sphere is the set of all points in space that are the same…

A cone is a three-dimensional figure with one circular base a…

A cross section is the two-dimensional shape that can be seen…

Bases

A prism is a three-dimensional figure with two parallel and c…

Center of a sphere

A sphere is the set of all points in space that are the same…

Prism Formulas

Pyramid Formulas

Cylinder Formulas

Cone Formulas

L.A. of a prism= 2b×h.... Total surface area of a prism=L.A+2B.…

L.A. of a pyramid= ½b×l.... Total surface area of a pyramid=L.A…

L.A. of a cylinder=2πr×h.... Total surface area of a cylinder=L.…

L.A. of a cone= π×r×l ... Total surface area of a cone= L.A. + π…

Prism Formulas

L.A. of a prism= 2b×h.... Total surface area of a prism=L.A+2B.…

Pyramid Formulas

L.A. of a pyramid= ½b×l.... Total surface area of a pyramid=L.A…

bases

center

circle

circumference

The bases of a prism are any two parallel congruent faces.

The given point from which all points on the circle are the s…

The set of all points in a plane that are the same distance f…

The distance around a circle.

bases

The bases of a prism are any two parallel congruent faces.

center

The given point from which all points on the circle are the s…

prism

pyramid

cylinder

cone

LA - area of sides... SA - LA + area of base... Vol - Bh, ⊄h

LA - area of sides... SA - LA + area of base... Vol - ¹/₃Bh

LA - 2πrh... SA - LA + 2πr²... Vol - πr²h, ⊄h

LA - πrl... SA - LA + πr²... Vol - ¹/₃Bh

prism

LA - area of sides... SA - LA + area of base... Vol - Bh, ⊄h

pyramid

LA - area of sides... SA - LA + area of base... Vol - ¹/₃Bh

Volume

Surface area

Polyhedra

Prisms

The space an object occupies (units ^3)

The sum of all the areas of all the surfaces (units ^2)

3-D object that has polygons for all faces

Congruent polygonal bases and several lateral sides

Volume

The space an object occupies (units ^3)

Surface area

The sum of all the areas of all the surfaces (units ^2)

base edge

altitude

height

lateral area

the intersection of the lateral faces and bases in a solid fi…

1. in a triangle, a segment from a vertex of the triangle to…

the length of the altitude of a solid figure

for prisms, pyramids, cylinders, and cones, the area of the f…

base edge

the intersection of the lateral faces and bases in a solid fi…

altitude

1. in a triangle, a segment from a vertex of the triangle to…

Prism Area

Cylinder

Pyramid

Cone

SA = 2(Area Base) + Perimeter of 1 base (Height between bases…

SA= 2(πr squared) + 2πr (Height between bases)... SA= 2(Area Ba…

SA= Area of the base + 1/2 (perimeter of base) slant height…

SA= Area of the base + 1/2 (perimeter of base) slant height…

Prism Area

SA = 2(Area Base) + Perimeter of 1 base (Height between bases…

Cylinder

SA= 2(πr squared) + 2πr (Height between bases)... SA= 2(Area Ba…

Isometric View

Cross Section

Lateral Face

Prism

A corner view of a three-dimensional object on two-dimensiona…

The intersection of a solid and a plane.

A face of a solid figure that is not a base.

A solid figure with two congruent and parallel faces (the bas…

Isometric View

A corner view of a three-dimensional object on two-dimensiona…

Cross Section

The intersection of a solid and a plane.

Isometric View

Cross Section

Lateral Face

Lateral Edge

Corner views of three-dimensional objects on two-dimensional…

The intersection of a solid and a plane

In a solid figure, a face that is not the base

The edges where lateral faces intersect each other; these are…

Isometric View

Corner views of three-dimensional objects on two-dimensional…

Cross Section

The intersection of a solid and a plane

Isometric view

Cross section

Lateral face

Lateral edges

Corner views of geometric solids

The intersection of a solid and a plane

Faces that are not bases

All parallel and congruent things where lateral faces intersect

Isometric view

Corner views of geometric solids

Cross section

The intersection of a solid and a plane

if a solid is regular then the base is

Slant Height

lateral edge

base edge

regular

altitude of the face of a pyramid

where 2 faces meet on a pyramid

where the bottom edge of one base and the edge of the base me…

if a solid is regular then the base is

regular

Slant Height

altitude of the face of a pyramid

Euler Polyhedron Theorem

Formula for Surface Area of Prism

Formula for Volume of Prism

Formula for Surface Area of Cylinders

F+V=E+2

Lateral Area: PH Surface area: PH+2B

V=BH

Lateral Area: 2(pie)RH Surface Area: 2(pie)R^2+ 2(pie)RH

Euler Polyhedron Theorem

F+V=E+2

Formula for Surface Area of Prism

Lateral Area: PH Surface area: PH+2B

The formula for the lateral area of a…

The formula for the total area of a sp…

The formula for the volume of a pyramid

The formula for the volume of a cone

L.A. = ½Cl = πrl... Where C is the circumference of the base, l…

T.A. = 4πr²... Where r is the sphere's radius.

V = ⅓Bh... Where B is the area of the base and h is the height.

V = ⅓Bh = ⅓πr²h... Where B is the area of the base, h is the hei…

The formula for the lateral area of a…

L.A. = ½Cl = πrl... Where C is the circumference of the base, l…

The formula for the total area of a sp…

T.A. = 4πr²... Where r is the sphere's radius.

Any Prism - Lateral Area

Any Prism - Total Area

Any Prism - Volume

Pyramids - Lateral Area

ph - (perimeter of base)(height)

(LA) + (2B)

Bh - (area of base) (height)

(1/2) (p) ( L ) - (half) (perimeter of base) (slant height)

Any Prism - Lateral Area

ph - (perimeter of base)(height)

Any Prism - Total Area

(LA) + (2B)

polyhedra

Triangular Prism

Lateral Area of a Triangular Prism

Total Surface Area of a Triangular Prism

A solid with many flat faces

A prism that has triangular bases. The bases are parallel and…

L.A.= bh(side 1) + bh(side 2) + bh(side3)

T.S.A.= bh(side 1) + bh(side 2) + bh(side3) + (2)1/2bh

polyhedra

A solid with many flat faces

Triangular Prism

A prism that has triangular bases. The bases are parallel and…

base (B)

altitude

lateral faces

lateral edges

congruent polygons in parallel planes

perpendicular to each base (shortest distance)

polygons that aren't the bases

edges that are not base edges, edges of the lateral faces

base (B)

congruent polygons in parallel planes

altitude

perpendicular to each base (shortest distance)

Prism

Altitude (of a prism)

Lateral faces

lateral edges

A solid figure that has two congruent, parallel polygons as i…

a perpendicular segment that joins the planes of the bases

The faces of a prism or pyramid that are not bases

segments connecting cooresponding vertices of the bases of a…

Prism

A solid figure that has two congruent, parallel polygons as i…

Altitude (of a prism)

a perpendicular segment that joins the planes of the bases