Study sets matching "geometry area area volume surface area volume"

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Study sets matching "geometry area area volume surface area volume"

20 terms
Geometry- Surface Area and Volume
1. Polyhedron (plural = polyhedra)
2. Regular polyhedra
3. Prism
4. Cube/Hexahedron
3-d solid figure that has flat, polygon faces
Polyhedra whose faces are all congruent polygons and the same…
3-d closed figure. It has 2 parallel faces, called bases, tha…
A regular prism and polyhedron. It is made of 6 squares.
1. Polyhedron (plural = polyhedra)
3-d solid figure that has flat, polygon faces
2. Regular polyhedra
Polyhedra whose faces are all congruent polygons and the same…
Geometry - Surface Area/Volume
Area of a Trapezoid
Area of a Triangle
Area of a Circle
Area of a Rectangle/Square
A=1/2 h (b1+b2)
A=1/2 bh
A=3.14r2
A=bh
Area of a Trapezoid
A=1/2 h (b1+b2)
Area of a Triangle
A=1/2 bh
10 terms
Geometry- Volume & Surface Area
volume of a cylinder
volume of a pyramid AND a cone
volume of a sphere
surface area of a prism
volume = pi ・radius² ・ height
volume = ⅓ ・ pi ・ radius² ・ height
volume = 4/3 ・ pi ・ r³
surface area = 2 ・ area of base (b) + perimeter of base (p) ・…
volume of a cylinder
volume = pi ・radius² ・ height
volume of a pyramid AND a cone
volume = ⅓ ・ pi ・ radius² ・ height
12 terms
Geometry-Volume & Surface Area
What is the formula for the surface ar…
What is the formula for the surface ar…
What is the formula for the surface ar…
What is the formula for the surface ar…
2B+LA... B=area of the base... LA=lateral area... OR... 2B + pl... B=area of…
2B+LA... B=area of the base... LA=lateral area... OR... 2B + ph... B=area of…
2(pi)r^2+2(pi)rl... pi is approximately 3.14... r=radius... l=slant h…
2(pi)r^2+2(pi)rh... pi is approximately 3.14... r=radius... h=height
What is the formula for the surface ar…
2B+LA... B=area of the base... LA=lateral area... OR... 2B + pl... B=area of…
What is the formula for the surface ar…
2B+LA... B=area of the base... LA=lateral area... OR... 2B + ph... B=area of…
24 terms
Geometry Area, Surface Area, Volume
Half the diameter
Twice the radius
2 (3.14) r
(3.14) r^2
Radius
Diameter
Circumference
Area of a Circle
Half the diameter
Radius
Twice the radius
Diameter
Geometry - Surface Area and Volume
Surface area of a prism
Surface area of a cone
Surface area of a pyramid
Surface area of a sphere
Area of lateral faces plus 2 bases OR
Area of a circle plus (πrl) OR
Surface area of a prism
Area of lateral faces plus 2 bases OR
Surface area of a cone
Area of a circle plus (πrl) OR
Geometry - Surface Area and Volume
Surface Area of a prism
Net of a prism
Rectangular prism
Volume of a rectangular prism.
The sum of the area of all of its faces. ... SA = 2(lw)+2(lh)+2(…
A two-dimensional representation of a solid.
A three-dimensional object which has six faces that are recta…
The measure of the amount of space that the prism occupies. V…
Surface Area of a prism
The sum of the area of all of its faces. ... SA = 2(lw)+2(lh)+2(…
Net of a prism
A two-dimensional representation of a solid.
19 terms
Area, Surface Area, & Volume
20 cm squared
30 in. squared
What is the formula for area of a rect…
What is the formula for area of a tria…
What is the area of this figure if the length is 5cm and the…
What is the area of this triangle?
A=1/2 x b x h
20 cm squared
What is the area of this figure if the length is 5cm and the…
30 in. squared
What is the area of this triangle?
22 terms
Area, Surface Area and Volume
Area of a rectangle
Area of a square
Area of a triangle
Area of a trapezoid
A = l x w or A = bh
A = 1/2 bh
Area of a rectangle
A = l x w or A = bh
Area of a square
13 terms
Geometry Surface Area and Volume
What is the formula for the surface ar…
What is the formula for the surface ar…
What is the formula for the surface ar…
What is the formula for the surface ar…
area = 1/2 ( base height)... a = 1/2(b*h)
What is the formula for the surface ar…
What is the formula for the surface ar…
14 terms
Geometry Volume & Surface Area
Base area
Perimeter
Height of whole shape
Slant height
What does B represnt?
What does P represent?
What does H represent?
What does l represent?
Base area
What does B represnt?
Perimeter
What does P represent?
Geometry Surface Area & Volume
F
V
E
Euler's Formula 3-D
Face or flat surface
Vertex or corner
Edge or line
F + V = E + 2
F
Face or flat surface
V
Vertex or corner
11 terms
Geometry Review of Surface Area & Volume
area
base
cube
cubic unit
the number of square units needed to cover an area... Abbreviat…
the bottom face of a geometric figure (the floor)... Abbreviati…
a solid figure that has six square sides of equal size
a unit for measuring volume (a cube with each side 1 unit long)
area
the number of square units needed to cover an area... Abbreviat…
base
the bottom face of a geometric figure (the floor)... Abbreviati…
14 terms
Geometry Volume & Surface Area
LA=ph
SA=LA+2B
V=Bh
LA=ch
prism Lateral Surface Area
prism Total Surface Area
prism Volume
cylinder lateral surface area
LA=ph
prism Lateral Surface Area
SA=LA+2B
prism Total Surface Area
Geometry: Area, Surface Area, Volume
Lateral Surface Area- Cylinder
Lateral Surface Area- Cone
Surface Area- Sphere
Volume- Prism
2πrh
πrl
4πr²
bh
Lateral Surface Area- Cylinder
2πrh
Lateral Surface Area- Cone
πrl
21 terms
Geometry- Area/Surface Area/Volume
Triangle area
Parallelogram area
Trapezoid area
Rhombus area
1/2 b h
b h
1/2 h (b1 + b2)
1/2 d1 d2
Triangle area
1/2 b h
Parallelogram area
b h
Geometry volume/ surface area
area of a regular polygon
Apothem
volume of rectangular prism
volume of triangular prism
A=1/2 (apothem)(perimeter)
#sides/ 2tan( theta/2)
v= lwh ... v=bh
v= (1/2bh) H
area of a regular polygon
A=1/2 (apothem)(perimeter)
Apothem
#sides/ 2tan( theta/2)
Geometry Surface Area and Volume
Area of an Equilateral Triangle
Surface Area of a Prism
Surface Area of a Cylinder
Volume of a Prism
(radical 3)/4xs(squared)
SA=Ph+2B
SA=2(pi)rh+2(pi)r(squared)
V=Bh
Area of an Equilateral Triangle
(radical 3)/4xs(squared)
Surface Area of a Prism
SA=Ph+2B
Geometry volume and surface area
LA of prism
LA of cylinder
LA of pyramid and cone
TA of prisms and cylinder
Perimeter of base • h
2pie•r•h
1/2•P•slant height
2B•LA
LA of prism
Perimeter of base • h
LA of cylinder
2pie•r•h
Geometry Surface Area and Volume
Rectangular Solid (Surface Area)
Cube (Surface Area)
Right Cylinder (Surface Area)
Rectangular Solid (Volume)
2(LW) + 2(LH) + 2(WH)
6s^2
2(pi)r^2 + 2(pi)rh
L x W x H
Rectangular Solid (Surface Area)
2(LW) + 2(LH) + 2(WH)
Cube (Surface Area)
6s^2
Geometry Surface Area and Volume
polyhedron
edge (of a polyhedron)
vertex (of a polyhedron)
regular polyhedron
solid bounded by polygons called faces that enclose a single…
line segment formed by two intersecting faces
point where 3 or more edges meet
all faces congruent regular polygons; same number of edges me…
polyhedron
solid bounded by polygons called faces that enclose a single…
edge (of a polyhedron)
line segment formed by two intersecting faces
12 terms
Geometry Surface Area and Volume
surface area of a prism
Surface area of a cylinder
surface area of a pyramid
surface area of a cone
2B+Ph
2pir^2+2pirh
B+1/2Pl
pir^2+pirl
surface area of a prism
2B+Ph
Surface area of a cylinder
2pir^2+2pirh
Geometry area, surface area, and volume
Parallelogram/square/ rectangle
Triangle
Trapezoid
Circle
A=bh
A=1/2bh
A=1/2h(b1+b2)
A=πr^2
Parallelogram/square/ rectangle
A=bh
Triangle
A=1/2bh
21 terms
Geometry: area, volume, and surface area
Perimeter definition
Area definition
Volume definition
Area of circle
Distance around
Amount of surface
Amount of space
Pi r^2
Perimeter definition
Distance around
Area definition
Amount of surface
Geometry area, surface area, and volume
Parallelogram/square/ rectangle
Triangle
Trapezoid
Circle
A=bh
A=1/2bh
A=1/2h(b1+b2)
A=πr^2
Parallelogram/square/ rectangle
A=bh
Triangle
A=1/2bh
35 terms
Geometry: Surface Area and Volume
Cube
Pyramid net
Cylinder
Rectangular Prism net
Cube
Pyramid net
13 terms
Area, Volume, & Surface Area
Square
Rectangle
Trapezoid
Triangle
A=LxL or L^2
A=LxW... P=2L+2W
A=1/2h(b1+b2)
A=1/2hb
Square
A=LxL or L^2
Rectangle
A=LxW... P=2L+2W
15 terms
Geometry: Areas, Volumes, and Surface area
area of a square
area of a rectangle
area of parallelogram
area of trapezoid
a∧2
ab
bh
h/2 (b1 + b2)
area of a square
a∧2
area of a rectangle
ab
Geometry Surface Area & Volume
cylinder SA
SA
cylinder V
V
SA= 2πr²+2πr∙h
surface area (units²)
V=πr²h
volume (units³)
cylinder SA
SA= 2πr²+2πr∙h
SA
surface area (units²)
Geometry "Surface Area & Volume"
Surface Area of a Sphere
Volume of a Sphere
Edges
Faces
S=4πr²
V=(4/3)πr³
Line made by intersection of two faces
Polygons that enclose a solid
Surface Area of a Sphere
S=4πr²
Volume of a Sphere
V=(4/3)πr³
10 terms
Geometry Surface Area & Volume
Surface Area of a Prism
Volume of a Prism
Surface Area of a Cylinder
Volume of a Cylinder
Ph + 2B
Bh
2(pi)rh + 2(pi)r^2
(pi)r^2h
Surface Area of a Prism
Ph + 2B
Volume of a Prism
Bh
12 terms
Geometry Surface Area&Volume
Surface Area of a Prisim
Surface Area of a Pyramid
Surface Area of a cone
Surface Area of a Cylinder
Area 1+Area 2+Area 3...
Area of the Base+ the area of the faces
πrl (slant height) + πr-squared
2πrh + 2πr-squared
Surface Area of a Prisim
Area 1+Area 2+Area 3...
Surface Area of a Pyramid
Area of the Base+ the area of the faces
10 terms
Geometry Volume & Surface Area
Volume of Prism
Volume of Cylinder
Volume of Pyramid
Base Area of Prism
V=BH, the area of one base times the height of the solid
V=πr(squared) times height
V=BH/3, the area of one base times the height of the solid, d…
A=1/2BH times 2
Volume of Prism
V=BH, the area of one base times the height of the solid
Volume of Cylinder
V=πr(squared) times height
18 terms
Geometry Surface Area & Volume
Lateral Area... regular pyramid
Surface Area... Regular Pyramid
Surface Area... Regular Pyramid
p
1/2•p•l
LA+B
1/2•p•l+b... 1/2•p•l+b
Perimeter
Lateral Area... regular pyramid
1/2•p•l
Surface Area... Regular Pyramid
LA+B
10 terms
Geometry Volume/Surface area
Right prism v
Right prism sa
Right cylinder v
Right cylinder sa
Bh
2B+Ph
Bh
2B+Ch
Right prism v
Bh
Right prism sa
2B+Ph
Geometry: volume & surface area
Pyramid volume
Pyramid surface area
Prism volume
Prism surface area
B*h/3
A(area of base)+triangles*4
1/2ah*l
Area of shape+hb number of sides
Pyramid volume
B*h/3
Pyramid surface area
A(area of base)+triangles*4
10 terms
Geometry Surface Area + Volume
Prism (SA)
Cylinder (SA)
Pyramid (SA)
Cone (SA)
Ph + 2B
(2π • hr) + 2π • r^2
(1/2)(Pl) + B
(π• rl) + π • r^2
Prism (SA)
Ph + 2B
Cylinder (SA)
(2π • hr) + 2π • r^2
10 terms
Geometry Volume/Surface Area
1/2 2πrl+πr²
4πr²
2πrh+2πr²
ph+2B
SA of a Cone
SA of a Sphere
SA of a Cylinder
SA of a Prism
1/2 2πrl+πr²
SA of a Cone
4πr²
SA of a Sphere
18 terms
Geometry Area, surface area, and volume
Rectangle area
Triangle area
Parallelogram area
Trapezoid area
Base x height
Base x height ÷ 2
Base × height
B1 +B2 ÷ 2
Rectangle area
Base x height
Triangle area
Base x height ÷ 2
Area, Surface Area, & Volume
20 cm squared
30 in. squared
60 cm squared
36 mm squared
What is the area of this figure if the length is 5cm and the…
What is the area of this triangle?
What is the area of this parallelogram if the base is 12 cm.…
What is the area of this figure?
20 cm squared
What is the area of this figure if the length is 5cm and the…
30 in. squared
What is the area of this triangle?
geometry volume and surface area
volume of cone
surface area of cone
volume of cylinder
surface area of cylinder
volume of cone
surface area of cone
Geometry Surface Area and Volume
Euler's Formula
Surface Area of Prism
Volume of Prism
Surface Area of Cylinder
F+V=E+2
L.A- add areas of all lateral faces... S.A.=L.A.+ 2B
V=Bh
L.A.= Ch=3.14dh=23.14h... S.A.= L.A.+ 2B (23.14rh+ 23.14r^2)
Euler's Formula
F+V=E+2
Surface Area of Prism
L.A- add areas of all lateral faces... S.A.=L.A.+ 2B
Geometry volume and surface area
Surface area for a prism
Volume for a prism
Surface area for a pyramid
Volume for a pyramid
S=Ph+2B
V=Ph
S=1/2 Pl+B
V=4/3 pi r3
Surface area for a prism
S=Ph+2B
Volume for a prism
V=Ph
14 terms
Geometry Volume and Surface Area
A of Regular Polygon
A of equilateral triangle
surface area of right prism
surface area of cylinder
1/2aP
square root of 3/4 *s^2
2B + Ph
2#r^2 +2#rh
A of Regular Polygon
1/2aP
A of equilateral triangle
square root of 3/4 *s^2
Geometry: Volume and Surface Area
Prism Volume
Prism Surface Area
Cylinder Volume
Cylinder Surface Area
B•h
2b+ph
(Pie)r^2h
2(pie)r^2+2(pie)rh
Prism Volume
B•h
Prism Surface Area
2b+ph
Geometry Volume and Surface Area
rectangular prism SA
sphere SA
cylinder SA
square pyramid SA
2(lw) + 2(hw) + 2(lh)
4πr^2
2πr^2 + 2πrh
s^2 + 2sl
rectangular prism SA
2(lw) + 2(hw) + 2(lh)
sphere SA
4πr^2
Volume and Surface Area Geometry
Surface area of prism
Surface area of pyramid
Surface area of cone
Surface area of sphere
SA=Ph+2B
SA=1/2Pl+B
SA=πrl+πr^2
SA=4πr^2
Surface area of prism
SA=Ph+2B
Surface area of pyramid
SA=1/2Pl+B
26 terms
Geometry: Surface Area and Volume
polygon interior angle sum thm
measure of each interior angle
area of a sector
area of a regular polygon
180(n-2)
180(n-2) over n
measure of the arc divided by 360 x πr^2
1/2Pa
polygon interior angle sum thm
180(n-2)
measure of each interior angle
180(n-2) over n
10 terms
Geometry volume and surface area
Volume for a prism
Surface area for a prism
Surface area for a pyrimad
Volume for a pyrimad
V=BH
S=Ph+2B
S=1/2pl+b
V=1/2bh
Volume for a prism
V=BH
Surface area for a prism
S=Ph+2B
12 terms
Geometry Surface area and Volume
Sphere SA
Sphere V
Cylinder SA
Cylinder V
SA=4(pi) r^2
V=4/3 (pi) r^3
2(pi) r(r+h) or 2(pi r^2) + 2(pi r) h
(pi) r^2 (h)
Sphere SA
SA=4(pi) r^2
Sphere V
V=4/3 (pi) r^3
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