Cubes and Cube Roots Class 8 Worksheets

# Cubes and Cube Roots Class 8 Worksheets

Cubes and Cube Roots Class 8 Worksheets play a vital role in revising the maths concepts.

## Cubes and Cube Roots Class 8 Worksheet 1 with Answers

1. Fill in the blanks.

a. The cube of -5 is _________.

b. The cube of 12 is _________.

c. The cube root of 3375 is ________.

d. The cube root of -512 is _________.

2. Choose the correct option.

a. The least number to be multiplied by 576 so as to make it a perfect cube is

i. 5

ii. 4

iii. 2

iv. 3

b. Which of the following is not a perfect cube?

i. 576

ii. 1000

iii. 1331

iv. 27000

c. Which of the following is a perfect cube?

i. 1225

ii. 729

iii. 324

iv. 625

d. The cube root of 125 is

i. 7

ii. 6

iii. 5

iv. 9

e. The cube of –0.6 is

i. –0.125

ii. 0.216

iii. –21.6

iv. –0.216

3. State whether the following statements are true or false.

a. The cube root of 1728 is 12.

b. The cube of –0.4 is –0.64.

c. The cube root of –216 is 6.

d. The cube of 0.8 is 0.512.

4. Find the least number by which 54000 must be divided to get a perfect cube.

5. Find the cube root of the following numbers.

a. 15.625

b. 1.728

c. 5.832

6. By what least number must 9000 be divided so as to make it a perfect cube?

7. The volume of a cube is 1728 cubic cm. Find its side.

8. Each side of a cubical box measures 1.5 m. Calculate the volume of the box.

## Cubes and Cube Roots Class 8 Worksheet 2 with Answers

1. Fill in the blanks.

a. The cube root of 82 × 96 is equal to ___________.

b. The cube of 21 is ___________.

c. The cube of –0.8 is __________.

d. The cube root of 13824 is ___________.

2. Choose the correct option.

a. The cube of 1.2 is ___________.

i. 172.8

ii. 17.28

iii. 1.728

iv. 0.1728

b. The cube of –7 is ____________.

i. 343

ii. 49

iii. –49

iv. –343

c. The cube root of 729 is ___________.

i. 9

ii. 7

iii. 81

iv. 6

d. The cube root of 0.343 is equal to ___________.

i. 0.5

ii. 0.7

iii. 0.9

iv. 0.07

3. State whether the following statements are true or false.

a. 35 × 36 × 92 is 315.

b. The cube root of 2197 is 13.

c. The cube of 11 is 13331.

d. The cube of 10 is equal to 100.

e. The cube root of 0.064 is 0.004.

4. Sum of the cubes of three numbers is 684. If two numbers are 5 and 6, find the third number.

5. By what least number must 288 be multiplied to get a perfect cube?

6. Find the cube root of the following using prime factorisation method.

a. 2744

b. 3375

c. 10648

7. Find the cube root of the following using prime estimation method.

a. 1331

b. 46656

c. 21952

8. The volume of a cubical box is 15,625 cubic cm. Find the measure of its side.

Worksheet 1

1. a. -125        b. 1728

c. 15            d. -8

2. a. iv           b. i

c. ii            d. iii

e. iv

3. a. True       b. False

c. False      d. True

4. 2

5. a. 2.5         b. 1.2

c. 1.8

6. 9

7. 12 cm

8. 3.375 cubic m

Worksheet 2

1. a. 324        b. 9261

c. -0.512      d. 24

2. a. iii           b. iv

c. i            d. ii

3. a. True     b. True

c. False    d. False

e. False

4. 7

5. 6

6. a. 14        b. 15

c. 22

7. a. 11        b. 36

c. 28

8. 25 cm

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