Class 8 Practice – Level 2 – Set 1 – Cubes and Cube Roots

Total questions: 25

What is the sum of the cubes of the first three natural numbers?

Topic: Introduction to Cubes

$36$

$27$

$18$

$9$

None

Which of the following numbers cannot be expressed as a perfect cube?

Topic: Properties of Cubes

$729$

$512$

$125$

$500$

None

The cube root of a number is $9$. What is the number?

Topic: Introduction to Cube Roots

$81$

$729$

$243$

$512$

None

Which of the following is the cube root of $27,000$?

Topic: Methods to Calculate Cube Roots

$30$

$50$

$40$

$20$

None

If the side length of a cube is doubled, how many times does the volume increase?

Topic: Applications of Cubes and Cube Roots

$2$ times

$4$ times

$6$ times

$8$ times

None

If $x^3 = y$, which of the following is true?

Topic: Properties of Cubes

$x$ is the square root of $y$.

$x$ is the cube root of $y$.

$x$ is the square of $y$.

$x$ is the cube of $y$.

None

What is the cube root of $-64$?

Topic: Introduction to Cube Roots

$-16$

$-8$

$-4$

$-2$

None

Using the estimation method, find the approximate cube root of $5,832$.

Topic: Methods to Calculate Cube Roots

$17$

$18$

$19$

$20$

None

A cubical tank has a volume of $343 , \text{m}^3$. What is the length of one side of the tank?

Topic: Applications of Cubes and Cube Roots

$5 , \text{m}$

$6 , \text{m}$

$7 , \text{m}$

$8 , \text{m}$

None

10.

If a number ends with $8$, what will be the unit digit of its cube?

Topic: Properties of Cubes

$2$

$4$

$6$

$8$

None

11.

What is the cube root of $1,000$?

Topic: Methods to Calculate Cube Roots

$10$

$15$

$25$

$30$

None

12.

The volume of a cube is $4,913$. What is the length of one side of the cube?

Topic: Applications of Cubes and Cube Roots

$17$

$18$

$19$

$20$

None

13.

Which of the following numbers is a perfect cube?

Topic: Properties of Cubes

$300$

$512$

$400$

$1,000$

None

14.

Which of the following is the cube root of $8$?

Topic: Introduction to Cube Roots

$1$

$2$

$3$

$4$

None

15.

Using prime factorization, find the cube root of $8,000$.

Topic: Methods to Calculate Cube Roots

$20$

$30$

$40$

$50$

None

16.

A cubical container has a volume of $1,728 , \text{cm}^3$. What is the length of one side of the container?

Topic: Applications of Cubes and Cube Roots

$10 , \text{cm}$

$11 , \text{cm}$

$12 , \text{cm}$

$13 , \text{cm}$

None

17.

Which of the following numbers has a cube root that is an integer?

Topic: Properties of Cubes

$150$

$225$

$343$

$500$

None

18.

What is the cube root of $-1$?

Topic: Introduction to Cube Roots

$-1$

$1$

$0$

$-2$

None

19.

Find the cube root of $8,000$ using estimation.

Topic: Methods to Calculate Cube Roots

$18$

$19$

$20$

$21$

None

20.

A cube has a side length of $3 , \text{cm}$. What is the volume of the cube?

Topic: Applications of Cubes and Cube Roots

$6 , \text{cm}^3$

$9 , \text{cm}^3$

$27 , \text{cm}^3$

$36 , \text{cm}^3$

None

21.

Which of the following numbers is not a perfect cube?

Topic: Properties of Cubes

$8$

$27$

$64$

$100$

None

22.

What is the cube root of $1$?

Topic: Introduction to Cube Roots

$1$

$0$

$2$

$-1$

None

23.

What is the cube root of $125$?

Topic: Methods to Calculate Cube Roots

$5$

$6$

$10$

$15$

None

24.

A cube has a volume of $512 , \text{cm}^3$. What is the length of one side of the cube?

Topic: Applications of Cubes and Cube Roots

$7 , \text{cm}$

$8 , \text{cm}$

$9 , \text{cm}$

$10 , \text{cm}$

None

25.

What will be the unit digit of the cube of any number that ends with $4$?

Topic: Properties of Cubes

$4$

$6$

$2$

$4$

None

1 out of 25

Time's up

Class 8 Practice – Level 2 – Set 1 – Cubes and Cube Roots

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