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Exponents
Square Roots
Cube Roots
Area
Volume
100
x
2
. x
4
x
6
100
Find the square root of 25
5
100
Find the cube root of 8
2
100
The formula to find the area of a square is:
Area = The side lengths raise to the 2nd power or S
2
100
If you know the volume of a cube, how do you find the side lengths.
Take the cube root of the volume
200
(x
6
y
4
)
0
1
200
Find the square root of 169
13
200
Find the cube root of 125
5
200
The side lengths of a square is 2. What is the Area
Area = 4
200
If you know the side lengths of a cube. How do you find the volume.
Multiply the side lengths to the 3rd power.
300
(a
4
b/b
2
)
5
a
20
/b
5
300
Find the square root of 80
4 square root 5
300
Find the cube root of 108
3 cube roots of 4
300
How do you find the side lengths of a square if you know the area.
side lengths = the square root of the area
300
Find the volume of a cube with side lengths of 4 units.
Volume = 64 units
3
400
(4x
5
y
8
z
3
)
5
1024x
25
y
40
z
15
400
x
2
= 5
x = +-square root 5
400
x
3
= 8/27 solve for x
x = 2/3
400
The area of a square is 36cm
2
. What are the side lengths of the square
6 cm
400
If a cube has a volume of 343 cm
3
. What are the lengths of the sides.
Side lengths = 7 cm
500
24x
-4
c
3
/72y
-2
c
9
y
2
/3x
4
c
6
500
x
2
-5 = 59
x = +-8
500
x
3
+ 16 = 232 Solve for x
x = 6
500
If the area of a square is 72in
2
.What is the side length
6 square root 2
500
Find the volume of a cube with side lengths of 14 in.
Volume = 2744 in
3