Cubes and Cube Roots Test

Result

Cubes and Cube Roots Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

There are two numbers such that the sum of the numbers is 28 and their difference is 4. Find the difference of their cubes.

A
2368

B
1529

C
2068

D
1638

Solution

x + y = 28. x − y = 4 ⇒ x = 16,y = 12x³ − y³ = 163 − 123 = 4096 − 1728 = 2368.
Question 2
1 / -0

If you subtract a number, x from 17 times that number, and then take the cube of the difference, what will be the result?

A
1728 x³

B
4913 x³

C
4096 x³

D
5832 x³

Solution

17x − x = 16x Then cube it ⇒(16x)³ = 4096 x³.
Question 3
1 / -0

A number n is called a perfect cube if there exists.

A
a natural number m such that n = m × m

B
a natural number m such that m = n × m × n

C
a natural number m such that n = m × m × m

D
a natural number m such that m = n + m + n
Question 4
1 / -0

A cubical box has all sides of 26 m. Its volume will be

A
14626m³

B
19726m³

C
12645m³

D
17576m³

Solution

VOL a³ = (26)³ = (25 + 1)³ = 25³ + 3 × 25 × 1(25 + 1) +1³ = 15625 + 1875 + 1 = 17576.
Question 5
1 / -0

If you have a container in the shape of a cube that has a volume of 68921m3, then the area of each of the faces of the cube is

A
1931

B
1681

C
1729

D
1487

Solution

V= 68921 a³ = V ⇒ a = (68921)^1/3 = 41 Area efface = a² = (41)² = 1681.

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Re-Attempt Weekly Quiz Competition

Cubes and Cube Roots Test - 8

Result

Cubes and Cube Roots Test - 8

Score

-

Rank

-

SHARING IS CARING

Question 1

2368

1529

2068

1638

Solution

Question 2

1728 x3

4913 x3

4096 x3

5832 x3

Solution

Question 3

a natural number m such that n = m × m

a natural number m such that m = n × m × n

a natural number m such that n = m × m × m

a natural number m such that m = n + m + n

Question 4

14626m3

19726m3

12645m3

17576m3

Solution

Question 5

1931

1681

1729

1487

Solution

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Question Analysis

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1728 x³

4913 x³

4096 x³

5832 x³

14626m³

19726m³

12645m³

17576m³