1. Unit 10-Day 1 Squares: Area and Perimeter
Objective: Find the area and perimeter of a square.

2. Perimeter:
the distance around the outside of a figure!

3. s P = 4s s s s Perimeter: Formula: Perimeter of Square = s + s + s +s
P = # of sides x side length
P = (4)(side length)
P = 4s

4. Example 1:
Find the perimeter of a square with a side length of 12 cm.
P = 4s
P = 4(12)
12 cm.
P = 48 cm

5. Example 2:
Find the side length of a square with a perimeter of 32 cm.
P = 4s
32 = 4s
8 cm.
8 = s

6. Example 3: P = 4s 20 = 4(x+2) 20 = 4x + 8 12 = 4x x = 3
Find the side length of a square with sides x +2 and the perimeter 20.
P = 4s
20 = 4(x+2)
20 = 4x + 8
x + 2
12 = 4x
s = x + 2
x = 3
s = 3 + 2
s = 5

7. Practice #1:
1. Find the perimeter of a square with a side length of 75 cm.
P = 300 cm
Find the side length of a square with a perimeter of 216 cm.
Find the side length of a square with sides x-3 and a perimeter of 40.
s = 54 cm
s = 10

8. Area:
The amount of two dimensional space. (The space inside a figure.) 4
Formula: 4

9. Example 3: Find the area of a square with a side length of 12 cm.

10. Take the square root of both sides!
Example 4:
Find the side length of a square with an area of 225 cm2.
Take the square root of both sides!

11. Practice #2: 1. Find the area of a square with a side length of in.
A = 5 in.2
2. Find the side length of a square with an area of 196 ft2.
s = 14 ft.

12. CUBES: Surface Area & Volume
Objective: Find the surface area and volume of a 3-D figure.

13. Surface Area:
The total area of the external surface of a three-dimensional figure.

14. Cube: Three Dimensional Figure that has six sides that are squares.
Height
Find one that is a cube!
Width
Length

16. Surface Area: s s s Formula: SA = 6s 2
The total area of the external surface of a three-dimensional figure.
Find one that is a cube! s s s
SA = (Area of one square)(# of square)
Formula:
SA = 6s 2
SA = (s 2)(6)

17. Example #1: Find the Surface Area of the cube with a side length of 5 ft.
SA = 6 s2
5 ft.
= (6)(5)2
= (6)(25)
SA = 150 ft2

18. Practice #1:
1. Find the Surface Area of the cube with a side length of 10 inches Find the side length of a cube with a surface area of 864 cm2.
SA = 600 in.2
s = 12 cm.

19. Volume: The total amount of space inside a 3 dimensional figure.
Volume = (height)(length)(width) S S S
Volume = (side length)3
Formula:
V = s 3

20. Example #2: Find the volume of the cube with a side length of 4 inches.
V = s 3
V = (4)3
4 in.
V = 64 in.3
4 in.
4 in.

21. Example #3: Find the side length of a cube with a volume of 125 cm3.
V = s 3
125 = s 3
Take the cube root of each side.
s = 5

22. Practice #2:
1. Find the Volume of the cube with a side length of 6 inches Find the side length of a cube with a volume of 27 cm3.
V = 216 in.3
s = 3 cm.