The area of a rectangle equals its length times the width (base times the height). A = length x...

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The The area of a rectangle area of a rectangle equals its equals its length length times times the the width width ( ( base base times times the the height height ) ) . . A = length x width = lw or A = base x height = bh Area of a Rectangle Area of a Rectangle

Transcript of The area of a rectangle equals its length times the width (base times the height). A = length x...

The The area of a rectanglearea of a rectangle equals its equals its lengthlength times times the the widthwidth ( (basebase times times thethe heightheight))..

A = length x width = lw

or

A = base x height = bh

Area of a RectangleArea of a Rectangle

Length (l)

Width (w)A lw

Area of a RectangleArea of a Rectangle

2A sThe area of a square equals its side times side.

Area of a SquareArea of a Square

Side (s)

Side (s)

2A s

A s s

Area of a SquareArea of a Square

The The perimeter of a rectangleperimeter of a rectangle equals the equals the sum of its length and width multiplied sum of its length and width multiplied by two.by two.

2( )P l w Perimeter of a RectanglePerimeter of a Rectangle

Length (l)

Width (w)2( )P l w

Perimeter of a RectanglePerimeter of a Rectangle

The The perimeterperimeter of a of a squaresquare equals equals 4 times4 times the length of a the length of a sideside..

4P sPerimeter of a SquarePerimeter of a Square

Side (s)

Side (s)P s

P s

Perimeter of a SquarePerimeter of a Square

The The area of a parallelogramarea of a parallelogram equals the equals the product product of its of its basebase ( (bb) and ) and heightheight ( (hh)). The base and . The base and height must form a height must form a right angleright angle (90 (90º).º).

A bh

Area of a ParallelogramArea of a Parallelogram

A bhbase (b)

height (h)

right angle (90º)

Area of a ParallelogramArea of a Parallelogram

The The area of a trianglearea of a triangle equals equals halfhalf of the of the product of product of basebase ( (bb) and ) and heightheight ( (hh)). Its base . Its base and height must form a and height must form a right angleright angle (90 (90°).°).

1

2A bh

Area of a TriangleArea of a Triangle

1

2A bh

right angle (90º)

base (b)

height (h)

Area of a TriangleArea of a Triangle

Surface area is the total area of the surfaces of Surface area is the total area of the surfaces of a solid figure.a solid figure.

Surface area is measured in square units Surface area is measured in square units ( )( )2units

Top

Right

Front

Surface AreaSurface Area

TOP

BACK

FRONT

RIGHTLEFT

BOTTOM

Surface Area – Rectangular PrismSurface Area – Rectangular Prism

FRONT

RIGHT SIDE

LEFT SIDE

TOPBACK

BOTTOM

Surface Area – Rectangular PrismSurface Area – Rectangular Prism

TOP is congruent to TOP is congruent to BOTTOMBOTTOM

RIGHT is congruent to LEFTRIGHT is congruent to LEFT FRONT is congruent to BACKFRONT is congruent to BACK

Surface Area – Rectangular PrismSurface Area – Rectangular Prism

FaceFace LengthLength WidthWidth AreaArea

toptop 4 4 cmcm 8 8 cmcm 32 32 sq.sq. cmcm

bottombottom 4 4 cmcm 8 8 cmcm 32 32 sq. cmsq. cm

frontfront 8 8 cmcm 6 6 cmcm 48 48 sq. cmsq. cm

backback 8 8 cmcm 6 6 cmcm 48 48 sq. cmsq. cm

leftleft 4 4 cmcm 6 6 cmcm 24 24 sq. cmsq. cm

rightright 4 4 cmcm 6 6 cmcm 24 24 sq. cmsq. cm

sumsum 208 208 sq. cmsq. cm

8 cm

6 cm

4 cm

Surface Area – Rectangular PrismSurface Area – Rectangular Prism

height (h)

width (w)

length (l)

Formula for Surface Area of Rectangular Prism

Area = 2(lw + lh + wh)

Surface Area – Rectangular PrismSurface Area – Rectangular Prism

Side

Surface Area of a Cube = 6 x side²

Surface Area of a Cube = 6s²

Surface Area – CubeSurface Area – Cube

6 5 inches x 5 inches)

6 x 25 square inches

=150 square inches

Surface Area x

5 inches

Surface Area – CubeSurface Area – Cube

Volume is the measurement of the Volume is the measurement of the number of cubic units ( ) that make number of cubic units ( ) that make up a solid figure.up a solid figure.

Volume measures how much room a Volume measures how much room a solid figure takes up in space.solid figure takes up in space.

Volume also measures how much room Volume also measures how much room is in a solid figure (capacity).is in a solid figure (capacity).

3units

Volume – Rectangular PrismVolume – Rectangular Prism

V lwhThe The volume of a rectangular prismvolume of a rectangular prism

equals its equals its length timeslength times width times width times heightheight..

VolumeVolume = = lengthlength x x widthwidth x x heightheight

Volume – Rectangular PrismVolume – Rectangular Prism

LENGTH

WIDTH

HEIGHT

Volume length x width x height

V l x w x h

V lwh

Volume – Rectangular PrismVolume – Rectangular Prism

length (l) wid

th (w

)

height (h)V lwh

Volume – Rectangular PrismVolume – Rectangular Prism

Side

Volume = side x side x side

Volume = s³

Volume – CubeVolume – Cube

Volume = side x side x side = side³= s³

Volume = 5 inches x 5 inches x 5 inches

= 125 inches³

5 inches

Volume – CubeVolume – Cube