Perfect Squares and Cubes
Expressions and Equations
Estimating Square Roots and Cube Roots
Application: measure and calculate
Decimal/Fracti
on conversion and Unit 4 Review
100

square root of 81

+-9

100

50 - square root of 400

30

100

Square root of 52

in between square roots of 49 and 64 which is 7 and 8. 52 is 3 away from 49 and 8 from 64 meaning it is closer to 7 the answer must be less than 7.5


7.1, 7.2, 7.3

100

What is the side length of a square with a perimeter of 36ft?

P=4s

9ft 

100

convert 6/11 to a decimal 

0.54 repeating 

200

3 cubed

27

200

6 - 2 (square root of 64)

-10

200

cube root of 21

cube root of 21 is in between the perfect cube roots of 8 and 27 which is 2 and 3. 21 is 13 away from 8 and 6 away from 27. This means that the estimation is going to be closer to 3. 


 2.7 and 2.8

200

What is the area of a square with the side lengths of 9 in.?

A=s squared

81 squared in

300

square root of -400

No real solution, you cannot square root a negative number

300

x squared + 12 = 61

x=7

300

square root of 32

it is in between the perfect sqaure roots of 25 and 36 which is 5 and 6. 32 is 7 away from 25 and 4 away from 36 which makes it closer to 6. 


5.6 or 5.7

300

What is the volume of a cube with the side length of 7cm?

V=s cubed

343 cubic cm

400

Cube root of -8/27

-2/3

400

3x cubed = -648

x= -6

400

cube root of -268

268 is in between the perfect cube roots of 216 and 343 which is 6 and 7. 268 is 52 away from 216 and 75 away from 343. This means the estimation is closer to 6. 

6.3 or 6.4

400

What is the side length of a cube with the volume of 1000 cubic meters?

V=s cubed

10 meters

500

What two perfect squares have the last two digits flipped and what are they?

132=169

142=196


500

67 - ((cube root of 41) cubed)

26

500

5 (square root of 92)

92 is in between the perfect square roots of 81 and 100 which is 9 and 10. 92 is 11 away from 81 and 8 away from 100 making it closer to 10. This estimation is 9.6 or 9.7 

9.6(5)= 48

9.7(5)= 48.5



500

what is the side length of a cube with the surface area of 54 squared in?

SA=6 (s sqaured)

3