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Surface Area

Lateral Area

What's so special about a rectangular…

What's the formula for surface area of…

The sum of all the areas of the faces (where an ant could walk)

The sum of the area of the non-bases

It doesn't matter what side you call a base

2B + Ph

Surface Area

The sum of all the areas of the faces (where an ant could walk)

Lateral Area

The sum of the area of the non-bases

Lateral area of any prism

Total area of any prism

Volume of any prism

Volume of a rectangular prism

height x base perimeter (hp)

LA + 2 x base area (LA + 2B)

Base area x h (Bh)

length x width x height (lwh)

Lateral area of any prism

height x base perimeter (hp)

Total area of any prism

LA + 2 x base area (LA + 2B)

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…

Lateral Area of a Prism

Surface Area of a Prism

Volume of a Prism

Lateral Area of a Cylinder

Ph... (Perimeter of the Base)(height)

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

Bh (Base)(Height) or... LWH (Length)(Width)(Height)

Ph (Perimeter)(height)... 2πrh

Lateral Area of a Prism

Ph... (Perimeter of the Base)(height)

Surface Area of a Prism

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

2(bases) + Ph (area of bases, p = peri…

B + ½(P)L (L = slant height)

2B + Ch (C= circumference)

B + ½ CL (L = slant height)

surface area of a prism (polyhedra)

area of pyramid

surface area of cylinder

surface area of cone

2(bases) + Ph (area of bases, p = peri…

surface area of a prism (polyhedra)

B + ½(P)L (L = slant height)

area of pyramid

area of prisms and cylinders

area of pyramids and cones

area of spheres

area of tetrahedron

LA=ph... TA=LA+2B

LA=1/2pl (aka .5pl, pl/2)... TA=LA+B

A=4πr^2

LA=((s^2)√3/4)3 (aka square side, divide by 4, times 3, times…

area of prisms and cylinders

LA=ph... TA=LA+2B

area of pyramids and cones

LA=1/2pl (aka .5pl, pl/2)... TA=LA+B

Area

Square Units

Decompose/Compose

Base

The number of square units inside of a flat shape

Units for finding area

Strategies for finding area of irregular shapes by taking apa…

Makes a right angle (perpendicular) to the height

Area

The number of square units inside of a flat shape

Square Units

Units for finding area

600 ft^2

90 pi in^2

4071.5 in^2

360 in.^2

A cube has a side length of 10 feet. What is the surface area…

Find the surface area of a cone with a slant height of 13 inc…

Find the surface area of a sphere with radius 18 in. Round to…

Find the total surface area of a square pyramid with a base s…

600 ft^2

A cube has a side length of 10 feet. What is the surface area…

90 pi in^2

Find the surface area of a cone with a slant height of 13 inc…

Cavalieri's Principle

What shape is formed when a right tria…

What shape is formed when a rectangle…

What is the relationship between the v…

Any solid figures with the same base and height (or same cros…

Cone

Cylinder

The cone is 1/3 the volume of the cylinder

Cavalieri's Principle

Any solid figures with the same base and height (or same cros…

What shape is formed when a right tria…

Cone

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

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

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…

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…

Lateral Area of a Prism

Surface Area of a Prism

Volume of a Prism

Lateral Area of a Cylinder

Ph... (Perimeter of the Base)(height)

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

Bh (Base)(Height) or... LWH (Length)(Width)(Height)

Ph (Perimeter)(height)... 2πrh

Lateral Area of a Prism

Ph... (Perimeter of the Base)(height)

Surface Area of a Prism

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

Lateral Area of a Prism

Surface Area of a Prism

Volume of a Prism

Lateral Area of a Cylinder

Ph... (Perimeter of the Base)(height)

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

Bh (Base)(Height) or... LWH (Length)(Width)(Height)

Ph (Perimeter)(height)... 2πrh

Lateral Area of a Prism

Ph... (Perimeter of the Base)(height)

Surface Area of a Prism

2B + L.A.... 2 (Area of one of the Bases) + Lateral Area

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…

AREA

TRIANGLE

QUADRILATERAL

POLYGON

The size a surface takes up measured in square units.... Area o…

A polygon with 3 angles and 3 sides

A polygon with 4 sides

A plane shape having 3 or more sides

AREA

The size a surface takes up measured in square units.... Area o…

TRIANGLE

A polygon with 3 angles and 3 sides