Class 8 Practice – Level 3 – Set 1 – Cubes and Cube Roots

Total questions: 15

What is the cube root of $-8,000$?

Topic: Methods to Calculate Cube Roots

$-20$

$-10$

$-30$

$-25$

None

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

Topic: Introduction to Cube Roots

$64$

$27$

$125$

$50$

None

Which of the following statements is incorrect about cube numbers?

Topic: Properties of Cubes

Every cube number is a perfect square.

The cube of an even number is always even.

The cube of an odd number is always odd.

The cube of a negative number is always negative.

None

The volume of a cube is given by $x^3$. If the length of one side of the cube is reduced by $3 , \text{cm}$, the volume decreases by $117 , \text{cm}^3$. What is the original length of the side of the cube?

Topic: Applications of Cubes and Cube Roots

$6 , \text{cm}$

$7 , \text{cm}$

$8 , \text{cm}$

$9 , \text{cm}$

None

What is the cube root of $5,832$?

Topic: Methods to Calculate Cube Roots

$18$

$19$

$20$

$21$

None

Find the cube root of the product of $216$ and $64$.

Topic: Introduction to Cube Roots

$24$

$16$

$20$

$30$

None

Which of the following statements about cubes is true?

Topic: Properties of Cubes

The sum of two perfect cubes is always a perfect cube.

The difference of two perfect cubes is always a perfect cube.

The sum of two perfect cubes can never be a perfect cube.

The difference of two perfect cubes is always a perfect square.

None

A cube has a volume of $1728 , \text{cm}^3$. The volume of a second cube is $64$ times the volume of the first cube. What is the side length of the second cube?

Topic: Applications of Cubes and Cube Roots

$84 , \text{cm}$

$36 , \text{cm}$

$24 , \text{cm}$

$48 , \text{cm}$

None

If the cube root of a number is $5 , \text{cm}$, what is the value of the number?

Topic: Methods to Calculate Cube Roots

$125 , \text{cm}^3$

$100 , \text{cm}^3$

$75 , \text{cm}^3$

$50 , \text{cm}^3$

None

10.

What is the cube root of the product of $27$ and $64$?

Topic: Introduction to Cube Roots

$10$

$12$

$14$

$16$

None

11.

Which of the following numbers is not a cube of any integer?

Topic: Properties of Cubes

$729$

$512$

$343$

$900$

None

12.

A cube has a side length of $x$ cm. If the volume of the cube is $x^3 = 1331 , \text{cm}^3$, what is the value of $x$?

Topic: Applications of Cubes and Cube Roots

$10$

$11$

$12$

$13$

None

13.

What is the cube root of $-27$?

Topic: Methods to Calculate Cube Roots

$-3$

$3$

$-2$

$2$

None

14.

Which of the following cube roots is irrational?

Topic: Introduction to Cube Roots

$27$

$125$

$81$

$99$

None

15.

A cube's volume is $3^3$. What is the length of the cube's side in terms of its volume?

Topic: Applications of Cubes and Cube Roots

$3 , \text{cm}$

$9 , \text{cm}$

$27 , \text{cm}$

$81 , \text{cm}$

None

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Class 8 Practice – Level 3 – Set 1 – Cubes and Cube Roots

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