Find the length of the diagonal of a square park whose area is 5625 m 2 . find the smallest number by which 17787 must be divided to get a perfect square. also find the square root of the number so obtained. in earthquake relief fund rs 324900 has been collected . if each person contributed as many rupees as the number of people, find the number of people who have paid for it. the volume of the cube is 17.576 cm 3 .find the length of an edge of the cube. find the cube root of 148877.
Answers
Answered by
9
Solution No. 1
Given : Area of the square = 5625 m²
We know that, Area of a square = side × side
5626 = side × side
(side)² =5625
side = √5625
Side = 75 m
Now, The length of the diagonal of a square = √2(side)²
= √2(75)²
Length of the diagonal of the square = 75√2 m
Answer.
Solution No. 2
To find the smallest number by which 17787 must be divided to get a perfect square, we have to find the prime factors of 17787.
3| 17787
|_________
7| 5929
|__________
7| 847
|__________
11| 121
|__________
11| 11
|__________
11| 1
= 3 × 7 × 7 × 11 × 11
So, 17787 must be divided by 3 to get it a perfect square.
!7787 ÷ 3 = 5929
7| 5929
|_________
7| 847
|_________
11| 121
|_________
11| 11
|_________
| 1
So,
√5929 = 7 × 11 = 77 Answer.
Solution No. 3
Total money collected in the earthquake relief fund = 324900.
To find out the contribution of each person, we have to find out the square root of 324900 because each person contributed as many rupees as the number of people. Hence 324900 is a perfect square.
2| 324900
|__________
2| 162450
|__________
3| 81225
|__________
3| 27075
|__________
5| 9025
|__________
5| 1805
|__________
19| 361
|__________
19| 19
|__________
| 1
|
2 × 2 × 3 × 3 × 5 × 5 × 19 × 19
√324900 = 2 × 3 × 5 × 19
√324900 = 570
Therefore, there are 570 persons and each contributed Rs 570 in the earthquake relief fund.
Answer.
Solution No.4
Given : volume of cube = 17.576 cm³
Volume of cube = edge × edge × edge
17.576 = (edge)³
edge = ∛17.576
edge = 2.6 cm
Answer.
Solution No, 5
Cube root of 148877
This perfect cube has 7 at its unit's place, so it cube root will have 3 at its units place. The cube root of 50 is 125000, so the cube root of 148877 is 53.
53| 148877
|________
53| 2809
|________
53| 53
|________
| 1
So, ∛148877 = 53
Answer.
Given : Area of the square = 5625 m²
We know that, Area of a square = side × side
5626 = side × side
(side)² =5625
side = √5625
Side = 75 m
Now, The length of the diagonal of a square = √2(side)²
= √2(75)²
Length of the diagonal of the square = 75√2 m
Answer.
Solution No. 2
To find the smallest number by which 17787 must be divided to get a perfect square, we have to find the prime factors of 17787.
3| 17787
|_________
7| 5929
|__________
7| 847
|__________
11| 121
|__________
11| 11
|__________
11| 1
= 3 × 7 × 7 × 11 × 11
So, 17787 must be divided by 3 to get it a perfect square.
!7787 ÷ 3 = 5929
7| 5929
|_________
7| 847
|_________
11| 121
|_________
11| 11
|_________
| 1
So,
√5929 = 7 × 11 = 77 Answer.
Solution No. 3
Total money collected in the earthquake relief fund = 324900.
To find out the contribution of each person, we have to find out the square root of 324900 because each person contributed as many rupees as the number of people. Hence 324900 is a perfect square.
2| 324900
|__________
2| 162450
|__________
3| 81225
|__________
3| 27075
|__________
5| 9025
|__________
5| 1805
|__________
19| 361
|__________
19| 19
|__________
| 1
|
2 × 2 × 3 × 3 × 5 × 5 × 19 × 19
√324900 = 2 × 3 × 5 × 19
√324900 = 570
Therefore, there are 570 persons and each contributed Rs 570 in the earthquake relief fund.
Answer.
Solution No.4
Given : volume of cube = 17.576 cm³
Volume of cube = edge × edge × edge
17.576 = (edge)³
edge = ∛17.576
edge = 2.6 cm
Answer.
Solution No, 5
Cube root of 148877
This perfect cube has 7 at its unit's place, so it cube root will have 3 at its units place. The cube root of 50 is 125000, so the cube root of 148877 is 53.
53| 148877
|________
53| 2809
|________
53| 53
|________
| 1
So, ∛148877 = 53
Answer.
Similar questions