This document provides information and examples for calculating perimeter, area, and volume of rectangles, squares, and cubes for 6th grade students. It defines these geometric concepts and provides the relevant formulas. Examples are worked through step-by-step to find the perimeter of rectangles, area of rectangles and squares, and volume of cubes. Students then practice these calculations on sample problems and check their work against the provided answers.

1. 6th Grade:
Rectangle/Square
Perimeter, Area, &
Volume

2. 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

3. 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

4. Let’s Try together:
Remember:
P=2L+2W
We Know:
Length=6
Width=3
Now that we know the Length and
Width, we plug it into the formula:
P=2L+2W
P=2(6)+2(3)
P=12+6
P=18 units

5. Lets Practice:
Remember the Steps:
1.Identify the Length &
Width
2. Plug it into the Formula
3.Don’t forget your units!
Find the PeRIMeter
of the following two
problems:
1. 2.

6. Let’s Check Our Answers:
1.
L= 7 in
W= 4 in
P=2L+2W
P=2( 7) +2(4)
P=14+8
P=22 inches
2.
L=8 ft
W= 8 ft
P=2L + 2W
P=2(8) + 2(8)
P=16 + 16
P=32 Ft

7. Area:
What is the Area?
•The number of square units the figure
covers
How do we find the Area?
•Area=Length * Width

8. Let’s Try together:
A = L * W5
1 1 1 1 1
1
1
1
4
From the picture we see
that:
L= 5
W= 4
Now we plug these
values into the formula:
A=L * W
A= 5 * 4
A= 20 units²
Notice the
# boxes!

9. Let’s Practice:
Find the Areas:
1. 2.

10. Let’s Check our Answers:
Find the Areas:
1. 2.
9
2
L=6
W=3
A=L * W
A= 6 * 3
A= 18 Units²
L=9
W=2
A= L* W
A= 9 * 2
A= 18 Units²

11. 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

12. Let’s Try together:
V=L * W * H
L-20 ft
W= 8 ft
H=8 ft
L=20 ft W=8 ft H= 8 ft
V = L * W * H
V = 20 * 8 * 8
V =1280 ft³

13. Let’s Practice:
Find the volume:
Hint:
Use the boxes to
count the
Length, Width, &
Height

14. Let’s Check:
Find the volume:
From the boxes we can see the
Length=3; Width=3. &
Height=3
So….
V= Length * Width * Height
V= 3 * 3 * 3
V=27 units³
3
3

15. 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

16. a) 21 cm³
b) 280 cm³
c)375 cm³
d) 145 cm³
What is the volume
of the cube below?

17. Excellent!!
You are
Correct!!
Back to the quiz

18. a)25 m²
b) 20 m²
c) 55 m²
d) 38 m²
What is the Area of
the shape below?

19. Excellent!!
You are
Correct!!
Back to the quiz

20. a) 98 cm
b) 42 cm
c) 40 cm
d) 100 cm
What is the
PeRIMeter of the
rectangle?

21. Excellent!!
You are
Correct!!
Back to the quiz

22. 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 Areaof the square
below?
d) 12 cm A=9 cm²
c) 10 cm A=9 cm²
c) 12 cm A=5 cm²
cm

23. Excellent!!
You are
Correct!!
Back to the quiz

24. a) 590 cm³
b) 150 cm³
c)160 cm³
d) 140 cm³
What is the Volume
of the cube below?

25. Excellent!!
You are
Correct!!
U
You did Great, Keep up the Good Work!!

26. Sorry this is the
wrong answer….
Try Again
Back to the quiz