Answers
1st attachment: 3.11
2nd attachment: 6.71
Reflection
Question 1:
By looking for the closest numbers with a perfect square.
By using a calculator and giving the answer to more decimal places.
No. The is no perfect number you can square to get 45.
Question 2
By looking for the closest numbers with a perfect square root.
By using a calculator and giving the answer to more decimal places.
No. The is no perfect number you can cube to get 30.
Step-by-step explanation
1st attachment
The volume of the cube = (length)³
30 = l³
l = ∛30
= 3.107232506.
The answer to the nearest hundredth = 3.11
3.11 × 3.11 × 3.11 = 30.080231
2nd attachment
Area of a square = (length)²
45 = l²
l = √45
l = 6.708203933
Answer to the nearest hundredth = 6.71
6.71 × 6.71 = 45.0241
3rd attachment
Reflection:
Question 1
45 is not a perfect square. The closest numbers to 45 with a perfect square are 36 and 49
The square root of 36 is 6 and the square root of 49 is 7. So the way of getting the whole number is by looking for the closest numbers with a perfect square.
By using a calculator and giving the answer to more decimal places.
No. The is no perfect number you can square to get 45.
4th attachment
Question 2
30 is not a perfect cube. The closest numbers with a perfect cube are 27.
∛27 = 3
The ∛30 should be 3 whole number and some decimal places.
∛30 = 3.107232506.
So the way of getting the whole number for a cube root of 30 is by looking for the closest numbers with a perfect square root.
By using a calculator and giving the answer to more decimal places.
No. The is no perfect number you can cube to get 30.