perimeter, area, volume
TRANSCRIPT
6th Grade:Rectangle/Square
Perimeter, Area, & Volume
Rectangles/Squares
What does a Rectangle/Square look like?
OR
Rectangle Square
Formulas
PeRIMeter: Area: Volume:
P=2l+2w A=L*W V=L*W*H
What is a PeRIMeter?
•The distance around the shape•RIM around the shape
How do I find the PeRIMeter?
•2(length)+2(width)
PeRIMeter
Width
Length
Let’s Try together:
Remember:
P=2L+2W
We Know:
Length=6Width=3
Now that we know the Length and Width, we plug it into the formula:
P=2L+2WP=2(6)+2(3)
P=12+6
P=18 units
Lets Practice:Remember the Steps:
1.Identify the Length & Width
2. Plug it into the Formula3.Don’t forget your units!
Find the PeRIMeter
of the following two problems:
1. 2.
Let’s Check Our Answers:
1.
L= 7 inW= 4 inP=2L+2WP=2( 7) +2(4)P=14+8P=22 inches
2.
L=8 ftW= 8 ftP=2L + 2WP=2(8) + 2(8)P=16 + 16P=32 Ft
Area:
What is the Area?•The number of square units the figure covers
How do we find the Area?•Area=Length * Width
Let’s Try together:
A = L * W5
1 1 1 1 1
11 1
4
From the picture we see that:L= 5W= 4Now we plug these values into the formula:A=L * WA= 5 * 4
A= 20 units²Notice the # boxes!
Let’s Practice:
Find the Areas:
1. 2.
Let’s Check our Answers:
Find the Areas:1. 2.
9
2
L=6W=3A=L * WA= 6 * 3
A= 18 Units²
L=9W=2A= L* WA= 9 * 2
A= 18 Units²
Volume of a Cube:
What is Volume?•The amount of 3 dimensional space an object occupies
How do we find the Volume?•Volume= Length * Width * Height
Let’s Try together:
V=L * W * H
L-20 ftW= 8 ftH=8 ft
L=20 ft W=8 ft H= 8 ftV = L * W * HV = 20 * 8 * 8
V =1280 ft³
Let’s Practice:
Find the volume:
Hint:Use the boxes to
count the Length, Width, &
Height
Let’s Check:
Find the volume:
From the boxes we can see the
Length=3; Width=3. & Height=3So….V= Length * Width * HeightV= 3 * 3 * 3
V=27 units³
3
3
Let’s Review What
We Learned Today
With Jeopardy!!
Hint: Remember The Formulas We Learned!
Perimeter:
P=2L + 2W
Area:
A= L*W
Volume:
V= L*W*H
a) 21 cm³
b) 280 cm³
c)375 cm³
d) 145 cm³
What is the volumeof the cube below?
Excellent!!You are
Correct!!
Back to the quiz
a)25 m²
b) 20 m²
c) 55 m²
d) 38 m²
What is the Area of
the shape below?
Excellent!!You are
Correct!!
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a) 98 cm
b) 42 cm
c) 40 cm
d) 100 cm
What is the
PeRIMeter of the
rectangle?
Excellent!!You are
Correct!!
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a) P=12 cm A=15 cm²
b) P=10 cm A=9 cm²
c) 12 cm A=8 cm²
What is the PeRIMeter
and Area of the square
below?
d) 12 cm A=9 cm²
c) 10 cm A=9 cm²
c) 12 cm A=5 cm²
cm
Excellent!!You are
Correct!!
Back to the quiz
a) 590 cm³
b) 150 cm³
c)160 cm³
d) 140 cm³
What is the Volume of the cube below?
Excellent!!You are
Correct!!
UYou did Great, Keep up the Good Work!!
Sorry this is the wrong answer….
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