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Study sets matching "chapter 12 area volume"

27 terms
Chapter 12 Surface Area and 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.
Chapter 12: Surface Area and Volume
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…
Chapter 12: Surface Area and Volume
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…
Chapter 12 - Volume and Surface Area
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
27 terms
Chapter 12 Surface Area and 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.
Chapter 12- Area and Volume
LA=ph
V=Bh
TA=LA+2B
LA=1/2pl
Lateral Area of a right prism
Volume of a right prism
Total Area of a right prism
Lateral Area of a regular pyramid
LA=ph
Lateral Area of a right prism
V=Bh
Volume of a right prism
Chapter 12: Volume and Surface Area
Volume of a cylinder
Volume of a prism
Volume of a cone
Volume of a sphere
πr^2h
Bh
1/3 πr^2h
4/3 πr^3
Volume of a cylinder
πr^2h
Volume of a prism
Bh
11 terms
Chapter 12 (Volume & Surface Area)
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
14 terms
Chapter 12: Surface Area and Volume
Prism: Lateral Area
Prism: Surface Area
Cylinder: Lateral Area
Cylinder: Surface Area
L = Ph
S = Ph + 2B
L = 2(3.14)rh
L = 2(3.14)rh + 2(3.14)r^2
Prism: Lateral Area
L = Ph
Prism: Surface Area
S = Ph + 2B
chapter 12: surface area and volume
LA of a prism
LA of a cylinder
LA of a pyramid
LA of a cone
ph
ph
1/2 pl
1/2 pl
LA of a prism
ph
LA of a cylinder
ph
12 terms
Surface area and volume, chapter 12
Lateral area of a cylinder
Lateral area of a cone
Total (surface) area of a sphere
Volume of a right rectangular prism
2(pi)rh
1/2cł. Where ł is the slant height
4(pi)r^2
LWH
Lateral area of a cylinder
2(pi)rh
Lateral area of a cone
1/2cł. Where ł is the slant height
5 terms
Chapter 12: Surface Area and Volume
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…
8 terms
Math Chapter 12 Area and Volume
Volume of a Sphere
Volume of a Pyramid/Cone
Volume of a cylinder/prism
SA of a Sphere
4/3 Bh
1/2 Bh
Bh
4(pi)(r^2)
Volume of a Sphere
4/3 Bh
Volume of a Pyramid/Cone
1/2 Bh
17 terms
Chapter 12: Surface Area & Volume
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
15 terms
Volume and Surface Area (chapter 12)
L.A. Right Prism
Volume of a Right Prism
Total Area of a Right Prism
L.A. Right Cylinder
Ph
V=Bh
TA=LA+2B
2πrh
L.A. Right Prism
Ph
Volume of a Right Prism
V=Bh
Surface Area and Volume Chapter 12
Prism
Cylinder
Cone
Pyramid
SA=2B+Ph
SA=2~r^2+2~rh
SA=~r^2+~rl
SA=B+.5Pl
Prism
SA=2B+Ph
Cylinder
SA=2~r^2+2~rh
surface area and volume (chapter 12)
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)
9 terms
Chapter 12 Surface Area and Volume
Lateral Area of a Right Prism and Cyli…
Lateral Area of a Cube
Surface Area of a Cube
Surface Area of a Right Prism and Cyli…
LA = ph
4s^2
6s^2
SA = LA + 2B
Lateral Area of a Right Prism and Cyli…
LA = ph
Lateral Area of a Cube
4s^2
7 terms
Chapter 12 volume and surface area
Euler's Theorem
SA of a Right Prism
SA of a Right Cylinder
SA of a Regular Pyramid
f+v-e=2
SA=P(a+h)
SA=2pi*r(r+h)
SA=B+1/2Pl
Euler's Theorem
f+v-e=2
SA of a Right Prism
SA=P(a+h)
Chapter 12 Area and Volume Formulas
Surface Area of Cube:
Surface Area of Cylinder:
Surface Area of Pyramid:
Surface Area of Cone:
2(B) + 2(B) + 2(B) (BREAK APART)
2πr(2) + 2(πrh)
BREAK APART)
πr2 + πrl
Surface Area of Cube:
2(B) + 2(B) + 2(B) (BREAK APART)
Surface Area of Cylinder:
2πr(2) + 2(πrh)
36 terms
Chapter 12- Surface Area and Volume of Solids
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
Mrs. Delfino: Chapter 12 - Volume and Surface Area
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…
Chapter 12 Lateral Area, Total Surface Area and Volume Formulas
Volume of prism
Volume of rectangular prism
Volume of cylinder
Volume of pyramid
V = Bh
V = lwh
V = πr²h
V = ¹/₃Bh
Volume of prism
V = Bh
Volume of rectangular prism
V = lwh
6 terms
Chapter 12 (Area, Lateral Area, Surface Area, and Volume Formulas)
Pyramid
Area of a Circle
Sphere
Cone
L=½Pℓ... SA=½Pℓ+B... V=¹/₃Bh
A=πr²
L=NONE... SA=4πr²... V=⁴/₃πr³
L=πrℓ... SA=πrℓ+πr²... V=¹/₃Bh
Pyramid
L=½Pℓ... SA=½Pℓ+B... V=¹/₃Bh
Area of a Circle
A=πr²
18 terms
PRE-ALGEBRA 7: CHAPTER 12 - SURFACE AREA AND VOLUME
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…
Chapter 12- Areas and Volumes of Solids
Lateral Area of a prism
Total Area of a prism
Volume of a prism
Lateral Area of a pyramid
LA= ph
TA= ph+ 2B
V= Bh
LA= 1/2 pl
Lateral Area of a prism
LA= ph
Total Area of a prism
TA= ph+ 2B
Area and Volumes of Solids- Chapter 12
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…
Chapter 12 | Volume and Surface Area | Vocabulary
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…
10 terms
Chapter 12 Surface Area and Volumes
Circumference of a circle
Area of a circle
Volume of a prism
TA of a cylinder
2 pi r
Pi r squared
Bh
2 pi r h +2 pi r squared
Circumference of a circle
2 pi r
Area of a circle
Pi r squared
Chapter 12 Geo - Surface Area & Volume
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
30 terms
Vocab.-Chapter 12 Surface Area and Volume
polyhedron
faces
edge
vertex
solid bounded by polygons
polygons that make up a solid
line segment formed by intersecting faces
point where three or more edges converge
polyhedron
solid bounded by polygons
faces
polygons that make up a solid
14 terms
Surface Area and Volume - Chapter 12 Geometry
prism lateral area
prism surface area
prism volume
cylinder lateral area
Ph
2B+Ph
Bh
2(pi)rh
prism lateral area
Ph
prism surface area
2B+Ph
19 terms
Chapter 12: Areas and Volumes of Solids
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)
Chapter 12: Extending Surface Area and Volume
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…
25 terms
Chapter 12 Surface Area and Volumes
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…
27 terms
Grade 10 Geometry Chapter 12 Surface Area and 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.
Chapter 12 - Extending Surface Area and Volume
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
Geometry Chapter 12 Surface Area and Volume
Prisms
Pyramid
sphere
Cyclinder
LA=ph TSA=LA+2B/ph+2B
LA=1/2pl TSA=LA+B=1/2pl+B
LA=no lateral edges TSA 4πr^2
LA=ph=Ch=2πrh
Prisms
LA=ph TSA=LA+2B/ph+2B
Pyramid
LA=1/2pl TSA=LA+B=1/2pl+B
22 terms
Chapter 12: Extending Surface Area and Volume
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
22 terms
Geometry Chapter 12: Surface Area and Volume
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
14 terms
Chapter 12 Geometry Surface Area and Volume
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
6 terms
Geometry Chapter 12: Surface Area and Volume
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.
12 terms
Geometry Chapter 12 - Surface Area and Volume
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)
27 terms
Chapter 12.1-12.3: Surface Area and Volume
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…
17 terms
Geometry Chapter 12 Area and Volume Formulas
LA of a prism
TA of a prism
LA of a pyramid
TA of a pyramid
perimeter of base x altitude
LA + 2 (area of base)
1/2 (perimeter of base) x (Slant height)
LA + area of base
LA of a prism
perimeter of base x altitude
TA of a prism
LA + 2 (area of base)
14 terms
Chapter 12 Surface Area and Volume of Solids
Lateral Area of a Prism
Surface Area of a Prism
Volume of a Prism
Lateral Area of a Cylinder
LA=ph
SA=LA+2BA
V=BAh
LA=2¶rh
Lateral Area of a Prism
LA=ph
Surface Area of a Prism
SA=LA+2BA
10 terms
Geometry chapter 12- Surface Area and Volume
Volume of a prism
Volume of a cylinder
Volume of a cone
Volume of a pyramid
Bh
(Pi)r^2h
1/3(pi)rh
1/2Bh
Volume of a prism
Bh
Volume of a cylinder
(Pi)r^2h
10 terms
Geometry - Chapter 12 Surface Area and Volume Formulas
surface area of a (right) prism
surface area of a (right) cylinder
volume of a prism
volume of a cylinder
S=2B + Ph
S=2B + Ch
V=Bh
V=Bh
surface area of a (right) prism
S=2B + Ph
surface area of a (right) cylinder
S=2B + Ch
Chapter 12: Areas and Volumes of Solids
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)
19 terms
Chapter 12: Areas and Volumes of Solids
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
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